Mathematics

Mathematics

Problem

Which one of the following is the necessary and sufficient condition for the infinite geometric series a+ar+ar2+ …a+ar+ar^{2}+\text{ }\dots to have a finite sum? a) r<1r<1 b) ∣r∣<1|r|<1 c) ∣r∣≤1|r|\le 1 d) ∣r∣>1|r|>1

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