Mathematics

Mathematics

Problem

Which one of the following is the necessary and sufficient condition for the infinite series a+ar+ar2+ar3+⋯a+ar+ar^{2}+ar^{3}+\tfrac{}{}\cdots to converge? a) ∣r∣≤1|r|\le 1 b) r<1r<1 c) ∣r∣<1|r|<1 d) r=0r=0

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