Question

Prove that the following sum is telescoping. SEE BELOW

Answer 1

\[\sum_{j=1}^{n}(a _{j}-a _{j-1})=a _{n}-a _{0}\]

Answer 2

I am just supposed to show that that equality is true where a0, a1...an is a sequence of real numbers

Answer 3

Might want to try in math, rather than computer science. =)

Also, have you looked into a proof of the sigma sums? You might be able to use it as a template.

Answer 4

So you're given that the equality holds, and asked to show it's telescoping, rather than the typical case of using the fact that it's telescoping to establish the equality?