Consider the infinite series

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

Problem

Consider the infinite series S=∑n=1∞n22 nS=\displaystyle \sum_{n=1}^{\infty} \dfrac{n^{2}}{2^{\,n}}. What is the value of SS? (a) 44 (b) 1212 (c) 66 (d) 33

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