If the sum of the series n=0∑∞rn,∣r∣<1iss, then find the sum of the series n=0∑∞r2n .

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If the sum of the series {_{{{n}={0}}}^{}}{r}^{{n}},{|{r}|}<{1

Question

If the sum of the series $n = 0 \sum \infty r^{n}, ∣ r ∣ < 1 i s s,$ then find the sum of the series $n = 0 \sum \infty r^{2 n}$ .

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Daniel Discussed

If the sum of the series

n = 0 \sum \infty r^{n}, ∣ r ∣ < 1 i s s,

then find the sum of the series

n = 0 \sum \infty r^{2 n}

5 mins ago

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Question Text

If the sum of the series

n = 0 \sum \infty r^{n}, ∣ r ∣ < 1 i s s,

then find the sum of the series

n = 0 \sum \infty r^{2 n}