For a geometric series to converge to a finite sum as the number of terms increases…

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

Problem

For a geometric series to converge to a finite sum as the number of terms increases indefinitely, which condition must the common ratio

r

satisfy? (a)

0<r<1

(b)

|r|<1

(c)

|r|\le 1

(d)

r<1