State the necessary and sufficient condition on the common ratio for an infinite…

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

Problem

State the necessary and sufficient condition on the common ratio

r

for an infinite geometric series to have a finite sum. (a)

|r|\le 1

(b)

r<1

(c)

|r|<1

(d)

|r|>1