Mathematics

Mathematics

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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