The value of the sum is equal to:

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The value of the sum

\sum_{k=1}^{\infty} \sum_{n=1}^{\infty} \frac{k}{2^{n+k}}

is equal to: (a) 5 (b) 4 (c) 3 (d) 2