# Summation Contest Conceptual Problem-1

**Calculus**Level 5

\[\large \sum _{ n=2 }^{ \infty }{ \dfrac { \zeta ( n ) }{ { 2 }^{ n } } } = \ln A \]

Find \(A\).

**Hint**: Try using the generating function.

**Notation**: \(\zeta(\cdot) \) denotes the Riemann zeta function.