Determine the exact value of the series .

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Determine the exact value of the series

\displaystyle \sum_{n=0}^{\infty} 7(-0.2)^{n}

. (a)

-\dfrac{35}{6}

(b)

\dfrac{35}{4}

(c)

\dfrac{35}{6}

(d)

-\dfrac{7}{6}