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