State the condition on the common ratio under which the infinite geometric series has…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

State the condition on the common ratio rr under which the infinite geometric series a+ar+ar2+…a+ar+ar^{2}+\dots has a finite sum. (a) r<1r<1 (b) ∣r∣>1|r|>1 (c) ∣r∣<1|r|<1 (d) ∣r∣≤1|r|\le 1

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