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Vinthian
formerly known as shortround4271
Advanced Member
Joined: 24 May 2005
Posts: 258
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 Posted: 11 Nov 2005 05:15:22 pm Post subject: |
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is there a math function that sums up the numbers from A to B? or from 1 to B
like the ! function which multiplies it. i'm trying to see if there is, doesn't have to be on the calc, but i need it for a formula, instead of using For(.
thx.
Last edited by Guest on 11 Nov 2005 05:16:20 pm; edited 1 time in total |
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Vinthian
formerly known as shortround4271
Advanced Member
Joined: 24 May 2005
Posts: 258
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| Posted: 11 Nov 2005 06:12:34 pm Post subject: |
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| so how would i write that out on paper so my *cough*math*cough* teacher understands it? |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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Spyderbyte
Advanced Member
Joined: 29 May 2003
Posts: 372
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| Posted: 15 Nov 2005 12:45:04 am Post subject: |
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Sum of numbers from 1 to B:
b(b+1)
2
You can prove it with a picture:
*****
*****
*****
*****
I also have the formulas for the sum of 1 to B squared, and 1 to B cubed if you're interested.
Spyderbyte |
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thornahawk
μολών λαβέ
Active Member
Joined: 27 Mar 2005
Posts: 569
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| Posted: 15 Nov 2005 10:48:14 am Post subject: |
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Yes Spyderbyte, and J. Bernoulli was able to derive the general formula for sums of integer powers. Combinatorics books or books on finite differences have good proofs of those.
IIRC, the American Mathematical Monthly ran a series of "Proofs Without Words" on these so-called "power sums". :)
thornahawk |
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Tiberious726
Advanced Member
Joined: 07 Oct 2005
Posts: 284
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| Posted: 15 Nov 2005 05:32:18 pm Post subject: |
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yes sigma noation is what i would use; accually when explaining sigma notation to a friend i explained it in terms of a for loop
edit: isn't what spyderbite used a formula for evaluating sigma notation?
Last edited by Guest on 15 Nov 2005 05:33:13 pm; edited 1 time in total |
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