A lusty summation

Algebra Level 4

\[\large \displaystyle \sum_{n=1}^{\infty} \left(\dfrac{4}{n^2+4n+3}-9^{2-n}4^{n+1}\right)\]

If the value of above summation can be expressed in the form \(-\dfrac{m}{n}\), where \(m\) and \(n\) are coprime positive integers, find \(m-n\).

×

Problem Loading...

Note Loading...

Set Loading...