AP

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

Problem

Evaluate

\displaystyle \sum_{k=1}^{\infty} 3k\left(\tfrac14\right)^{k}

. (a)

1

(b)

\dfrac{3}{2}

(c)

\dfrac{4}{3}

(d)

\dfrac{5}{4}