Asked by Amy

Calculate the sum from k=1 to infinity (or n) of
(k^4)- (k-1)^4

It says that the solution is n^4, but I do not know why, I tried separating it in a telescoping sum, and expanding it, but I obtain at the end more values than expected. Please help

Answers

Answered by bobpursley
look at it. Each term adds a new k^4 term, but then subtracts out the <b> previous term</b> ( k-1)^4. So only the last term is left....which will be n^4
Answered by Amy
Sorry! The real problem was:
(k^4)- (k-4)^4
Yeah I understood what you said, does it apply the same here?

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