For real numbers and

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

Problem

For real numbers

a

and

r

, the infinite series

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

converges under which condition on

r

? (a)

r>0

(b)

|r|\le 1

(c)

|r|<1

(d)

r<1