Which of the following gives the sum to infinity of a convergent geometric…

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

Problem

Which of the following gives the sum to infinity of a convergent geometric progression with first term

a

and common ratio

r

? (a)

\dfrac{a(1-r^{n})}{1-r}

(b)

\dfrac{ar}{1-r}

(c)

\dfrac{a}{1-r}

(d)

\dfrac{a}{1+r}