Mathematics

Mathematics

Problem

Which condition on the common ratio rr guarantees that the infinite geometric series ∑k=0∞ark\displaystyle \sum_{k=0}^{\infty} ar^{k} converges to a finite value? a) r<1r<1 b) ∣r∣<1|r|<1 c) ∣r∣≤1|r|\le1 d) ∣ar∣<1|a r|<1

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