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icvmatthew
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Sum of a sum of integers 20 Dec 2018, 18:42
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I was recently listening to the Christmas song "12 days of Christmas" and was wondering what the equation was for finding the total number of times objects are mentioned in the song. I've been trying all day to create a formula to come up with the sum, but I am having difficulties. Knowing (n*(n+1))/2 is the sum of integers, what is the formula for a "sum of the sum" of integers?

Thank you in advance.

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Sum of a sum of integers 20 Dec 2018, 21:51
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I vaguely remember the song, but I won't look it up cause it will get stuck in my head!

You should be able to use this though
https://www.math10.com/en/algebra/arith ... ssion.html
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Sum of a sum of integers Updated on: 18 Aug 2023, 18:05
Originally posted by dabral on 21 Dec 2018, 01:16.
Last edited by dabral on 18 Aug 2023, 18:05, edited 1 time in total.
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amarthakur161
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Sum of a sum of integers 21 Dec 2018, 02:12
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icvmatthew
I was recently listening to the Christmas song "12 days of Christmas" and was wondering what the equation was for finding the total number of times objects are mentioned in the song. I've been trying all day to create a formula to come up with the sum, but I am having difficulties. Knowing (n*(n+1))/2 is the sum of integers, what is the formula for a "sum of the sum" of integers?

Thank you in advance.
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here is ur answer:
sum of integers-n:
Sum(n)= n(n+1)/2= (n^2+n)/2
Now
Sum (n^2)= n(n+1)(2n+1)/6

Sum of Sum(n)= (Sum(n^2)+ Sum(n))/2
. by solving
Sum of Sum(n)= n(n+1)(n+2)/6.

answered in a hurry, Hope u get it.

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