Friday, June 7, 2019

number theory - Determine all ways the integer 2015 can be written as a sum of consecutive positive integers.


Q) Determine all ways the integer 2015 can be written as a sum of
(more than one) consecutive positive integers. Prove that you have
found all possible combinations.





I was thinking of using Gauss' formula where



Sum=n(n+1)2 Since we want the sum to be 2015 then 2015=n(n+1)2 and then we are left with 4030=n(n+1)=n2+n



but then I got stuck. Any ideas?

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