Determine the value of .

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

Problem

Determine the value of

\displaystyle\sum_{n=2}^{\infty}4\left(-\dfrac{1}{3}\right)^{n}

. (a)

-\dfrac{1}{3}

(b)

\dfrac{2}{3}

(c)

\dfrac{1}{3}

(d)

\dfrac{4}{9}