Intriguing Summation

Calculus Level pending

Compute the ratio of the two series, \( \displaystyle \sum_{n=0}^\infty \dfrac{n^2 \binom{2n}{n} }{5^n} \) and \( \displaystyle \sum_{n=0}^\infty \dfrac{\binom{2n}{n} }{5^n} \).

×

Problem Loading...

Note Loading...

Set Loading...