Do you even telescope?

Algebra Level 2

Find the value of the following sum:

113+113+23+113+23+33+\sqrt{\frac{1}{1^3}}+\sqrt{\frac{1}{1^3+2^3}}+\sqrt{\frac{1}{1^3+2^3+3^3}}+\ldots \infty

Note that \infty here refers to the series having infinite terms and not the value \infty in the sum! In other words, the sum continues indefinitely.

Inspired by this problem.

×

Problem Loading...

Note Loading...

Set Loading...