For a geometric series to converge

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

Problem

For a geometric series

\sum_{n=0}^{\infty} ar^{n}

to converge, which of the following conditions on

r

must be satisfied? (a)

r<1

(b)

|r|\le 1

(c)

|r|<1

(d)

r>1