# Inverse Trigonometric Series

Geometry Level 4

$\large \sum_{n=0}^{10} \text{arccot} \dfrac{1+2^{2n+1}}{2^n} = \text{arccot} \dfrac ab$

If the equation above holds true for coprime positive integers $$a$$ and $$b$$, find $$\log_2 \dfrac{b+a}{a-b}$$.

×

Problem Loading...

Note Loading...

Set Loading...