For Loop and Sum

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP












3












$begingroup$


I am requested to do a sum of the first fifty positive even numbers by using For loop.
The For loop that I created is 



For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]


The output of this is a list of numbers from 2 to 50 and they are increasing by 2. Now I need these numbers to be sum so I created 



Sum[For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]]


However, it is not a correct input. I am not sure if I should write the Sum inside the For loop.






homework







share|improve this question











$endgroup$







  • 5




    $begingroup$
    If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
    $endgroup$
    – John Doty
    Mar 3 at 20:32










  • $begingroup$
    If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
    $endgroup$
    – mjw
    Mar 3 at 22:06







  • 1




    $begingroup$
    Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
    $endgroup$
    – MarcoB
    Mar 3 at 22:57







  • 7




    $begingroup$
    Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:51










  • $begingroup$
    Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
    $endgroup$
    – mjw
    Mar 4 at 2:56















3












$begingroup$


I am requested to do a sum of the first fifty positive even numbers by using For loop.
The For loop that I created is 



For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]


The output of this is a list of numbers from 2 to 50 and they are increasing by 2. Now I need these numbers to be sum so I created 



Sum[For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]]


However, it is not a correct input. I am not sure if I should write the Sum inside the For loop.






homework







share|improve this question











$endgroup$







  • 5




    $begingroup$
    If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
    $endgroup$
    – John Doty
    Mar 3 at 20:32










  • $begingroup$
    If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
    $endgroup$
    – mjw
    Mar 3 at 22:06







  • 1




    $begingroup$
    Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
    $endgroup$
    – MarcoB
    Mar 3 at 22:57







  • 7




    $begingroup$
    Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:51










  • $begingroup$
    Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
    $endgroup$
    – mjw
    Mar 4 at 2:56













3












3








3





$begingroup$


I am requested to do a sum of the first fifty positive even numbers by using For loop.
The For loop that I created is 



For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]


The output of this is a list of numbers from 2 to 50 and they are increasing by 2. Now I need these numbers to be sum so I created 



Sum[For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]]


However, it is not a correct input. I am not sure if I should write the Sum inside the For loop.






homework







share|improve this question











$endgroup$




I am requested to do a sum of the first fifty positive even numbers by using For loop.
The For loop that I created is 



For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]


The output of this is a list of numbers from 2 to 50 and they are increasing by 2. Now I need these numbers to be sum so I created 



Sum[For[natNum = 2, natNum <= 50, natNum = natNum + 2, Print[natNum]]]


However, it is not a correct input. I am not sure if I should write the Sum inside the For loop.






homework




homework






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 3 at 22:51









MarcoB

38.2k556114




38.2k556114










asked Mar 3 at 20:11









Laura FigueroaLaura Figueroa

161




161







  • 5




    $begingroup$
    If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
    $endgroup$
    – John Doty
    Mar 3 at 20:32










  • $begingroup$
    If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
    $endgroup$
    – mjw
    Mar 3 at 22:06







  • 1




    $begingroup$
    Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
    $endgroup$
    – MarcoB
    Mar 3 at 22:57







  • 7




    $begingroup$
    Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:51










  • $begingroup$
    Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
    $endgroup$
    – mjw
    Mar 4 at 2:56












  • 5




    $begingroup$
    If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
    $endgroup$
    – John Doty
    Mar 3 at 20:32










  • $begingroup$
    If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
    $endgroup$
    – mjw
    Mar 3 at 22:06







  • 1




    $begingroup$
    Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
    $endgroup$
    – MarcoB
    Mar 3 at 22:57







  • 7




    $begingroup$
    Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:51










  • $begingroup$
    Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
    $endgroup$
    – mjw
    Mar 4 at 2:56







5




5




$begingroup$
If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
$endgroup$
– John Doty
Mar 3 at 20:32




$begingroup$
If this is a class assignment, I'd suggest withdrawing from the class. For loops are almost never a good way to do anything in Mathematica.
$endgroup$
– John Doty
Mar 3 at 20:32












$begingroup$
If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
$endgroup$
– mjw
Mar 3 at 22:06





$begingroup$
If you want the first 50 positive even numbers, I believe that is 2, 4, ..., 100. The sum is (2+100) + (4+98) + ... + (50 + 52) = 102 * 25 = 2550.
$endgroup$
– mjw
Mar 3 at 22:06





1




1




$begingroup$
Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
$endgroup$
– MarcoB
Mar 3 at 22:57





$begingroup$
Total@Range[2, 2*50, 2] would be pretty direct. Note also that Print prints its arguments, but does not return them (in fact, it returns Null).
$endgroup$
– MarcoB
Mar 3 at 22:57





7




7




$begingroup$
Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
$endgroup$
– Henrik Schumacher
Mar 3 at 23:51




$begingroup$
Since the days of Carl Friedrich Gauß we know that using a For loop to compute 50 * 51 is a pretty bad idea....
$endgroup$
– Henrik Schumacher
Mar 3 at 23:51












$begingroup$
Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
$endgroup$
– mjw
Mar 4 at 2:56




$begingroup$
Is it the first fifty that you want, or is it 2, 4, ..., 50? The original question had both.
$endgroup$
– mjw
Mar 4 at 2:56










2 Answers
2






active

oldest

votes


















10












$begingroup$

Anyone asking you to write For loops in Mathematica for such a problem is a dolt. Nevertheless, here's how you might do that:



rslt = 0;
For[i = 0, i <= 50, i += 2, rslt += i];
rslt


And here's how someone with some familiarity with Mathematica might write it



Plus @@ Range[25]*2


Now, spend the time you were going to waste writing a For loop by reading the answers to this question Why should I avoid the For loop in Mathematica?






share|improve this answer









$endgroup$








  • 3




    $begingroup$
    +1 for the first sentence.
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:49


















3












$begingroup$

The first fifty positive integers can be computed with Table:



Q = 0; (* Initialization *)
T = Table[Q + k, k, 2 Range[50]]


output of the above code



We can sum up the values of T with Sum:



Sum[T[[k]], k, Range[50]]


2550






share|improve this answer











$endgroup$








  • 1




    $begingroup$
    Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
    $endgroup$
    – MarcoB
    Mar 3 at 22:56










  • $begingroup$
    Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
    $endgroup$
    – mjw
    Mar 4 at 0:23










  • $begingroup$
    I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
    $endgroup$
    – MarcoB
    Mar 4 at 1:34











  • $begingroup$
    This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
    $endgroup$
    – mjw
    Mar 4 at 2:23











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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









10












$begingroup$

Anyone asking you to write For loops in Mathematica for such a problem is a dolt. Nevertheless, here's how you might do that:



rslt = 0;
For[i = 0, i <= 50, i += 2, rslt += i];
rslt


And here's how someone with some familiarity with Mathematica might write it



Plus @@ Range[25]*2


Now, spend the time you were going to waste writing a For loop by reading the answers to this question Why should I avoid the For loop in Mathematica?






share|improve this answer









$endgroup$








  • 3




    $begingroup$
    +1 for the first sentence.
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:49















10












$begingroup$

Anyone asking you to write For loops in Mathematica for such a problem is a dolt. Nevertheless, here's how you might do that:



rslt = 0;
For[i = 0, i <= 50, i += 2, rslt += i];
rslt


And here's how someone with some familiarity with Mathematica might write it



Plus @@ Range[25]*2


Now, spend the time you were going to waste writing a For loop by reading the answers to this question Why should I avoid the For loop in Mathematica?






share|improve this answer









$endgroup$








  • 3




    $begingroup$
    +1 for the first sentence.
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:49













10












10








10





$begingroup$

Anyone asking you to write For loops in Mathematica for such a problem is a dolt. Nevertheless, here's how you might do that:



rslt = 0;
For[i = 0, i <= 50, i += 2, rslt += i];
rslt


And here's how someone with some familiarity with Mathematica might write it



Plus @@ Range[25]*2


Now, spend the time you were going to waste writing a For loop by reading the answers to this question Why should I avoid the For loop in Mathematica?






share|improve this answer









$endgroup$



Anyone asking you to write For loops in Mathematica for such a problem is a dolt. Nevertheless, here's how you might do that:



rslt = 0;
For[i = 0, i <= 50, i += 2, rslt += i];
rslt


And here's how someone with some familiarity with Mathematica might write it



Plus @@ Range[25]*2


Now, spend the time you were going to waste writing a For loop by reading the answers to this question Why should I avoid the For loop in Mathematica?







share|improve this answer












share|improve this answer



share|improve this answer










answered Mar 3 at 20:36









High Performance MarkHigh Performance Mark

636512




636512







  • 3




    $begingroup$
    +1 for the first sentence.
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:49












  • 3




    $begingroup$
    +1 for the first sentence.
    $endgroup$
    – Henrik Schumacher
    Mar 3 at 23:49







3




3




$begingroup$
+1 for the first sentence.
$endgroup$
– Henrik Schumacher
Mar 3 at 23:49




$begingroup$
+1 for the first sentence.
$endgroup$
– Henrik Schumacher
Mar 3 at 23:49











3












$begingroup$

The first fifty positive integers can be computed with Table:



Q = 0; (* Initialization *)
T = Table[Q + k, k, 2 Range[50]]


output of the above code



We can sum up the values of T with Sum:



Sum[T[[k]], k, Range[50]]


2550






share|improve this answer











$endgroup$








  • 1




    $begingroup$
    Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
    $endgroup$
    – MarcoB
    Mar 3 at 22:56










  • $begingroup$
    Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
    $endgroup$
    – mjw
    Mar 4 at 0:23










  • $begingroup$
    I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
    $endgroup$
    – MarcoB
    Mar 4 at 1:34











  • $begingroup$
    This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
    $endgroup$
    – mjw
    Mar 4 at 2:23















3












$begingroup$

The first fifty positive integers can be computed with Table:



Q = 0; (* Initialization *)
T = Table[Q + k, k, 2 Range[50]]


output of the above code



We can sum up the values of T with Sum:



Sum[T[[k]], k, Range[50]]


2550






share|improve this answer











$endgroup$








  • 1




    $begingroup$
    Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
    $endgroup$
    – MarcoB
    Mar 3 at 22:56










  • $begingroup$
    Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
    $endgroup$
    – mjw
    Mar 4 at 0:23










  • $begingroup$
    I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
    $endgroup$
    – MarcoB
    Mar 4 at 1:34











  • $begingroup$
    This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
    $endgroup$
    – mjw
    Mar 4 at 2:23













3












3








3





$begingroup$

The first fifty positive integers can be computed with Table:



Q = 0; (* Initialization *)
T = Table[Q + k, k, 2 Range[50]]


output of the above code



We can sum up the values of T with Sum:



Sum[T[[k]], k, Range[50]]


2550






share|improve this answer











$endgroup$



The first fifty positive integers can be computed with Table:



Q = 0; (* Initialization *)
T = Table[Q + k, k, 2 Range[50]]


output of the above code



We can sum up the values of T with Sum:



Sum[T[[k]], k, Range[50]]


2550







share|improve this answer














share|improve this answer



share|improve this answer








edited Mar 4 at 2:52









Conor O'Brien

1034




1034










answered Mar 3 at 22:02









mjwmjw

1,20810




1,20810







  • 1




    $begingroup$
    Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
    $endgroup$
    – MarcoB
    Mar 3 at 22:56










  • $begingroup$
    Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
    $endgroup$
    – mjw
    Mar 4 at 0:23










  • $begingroup$
    I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
    $endgroup$
    – MarcoB
    Mar 4 at 1:34











  • $begingroup$
    This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
    $endgroup$
    – mjw
    Mar 4 at 2:23












  • 1




    $begingroup$
    Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
    $endgroup$
    – MarcoB
    Mar 3 at 22:56










  • $begingroup$
    Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
    $endgroup$
    – mjw
    Mar 4 at 0:23










  • $begingroup$
    I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
    $endgroup$
    – MarcoB
    Mar 4 at 1:34











  • $begingroup$
    This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
    $endgroup$
    – mjw
    Mar 4 at 2:23







1




1




$begingroup$
Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
$endgroup$
– MarcoB
Mar 3 at 22:56




$begingroup$
Perhaps better / more idiomatic than your Sum approach would be using Total[T] or Plus@@T.
$endgroup$
– MarcoB
Mar 3 at 22:56












$begingroup$
Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
$endgroup$
– mjw
Mar 4 at 0:23




$begingroup$
Thank you! I was looking for something like Total and I saw the Plus posting above, but haven't yet learned about @@ and such. I would have thought Map might work here (it does not). Anyway, yes Total[T] and Plus@@T are simpler and more elegant!
$endgroup$
– mjw
Mar 4 at 0:23












$begingroup$
I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
$endgroup$
– MarcoB
Mar 4 at 1:34





$begingroup$
I was a latecomer to @@ as well. When I was learning about it, it helped me to think about it as a way of "swapping heads" of expressions. So for instance, if you have 1, 2, 3, its FullForm would be List[1, 2, 3]. If you then Apply Plus to it, i.e. Plus@@, you swap the Listhead for a Plus head, to give Plus[1, 2, 3]. Although it may seem like a niche application at first, once you get used to it, it is tremendously useful!
$endgroup$
– MarcoB
Mar 4 at 1:34













$begingroup$
This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
$endgroup$
– mjw
Mar 4 at 2:23




$begingroup$
This is great, thank you! Just as I learned not to use For loops (especially on this Forum), and to Do use Do, I'll look for opportunities to Apply @@.
$endgroup$
– mjw
Mar 4 at 2:23

















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