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Question-160254




Question Number 160254 by rexford last updated on 26/Nov/21
Answered by qaz last updated on 26/Nov/21
Σ_(i=0) ^∞ 2((4/5^i ))=(8/(1−(1/5)))=10
$$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{2}\left(\frac{\mathrm{4}}{\mathrm{5}^{\mathrm{i}} }\right)=\frac{\mathrm{8}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{5}}}=\mathrm{10} \\ $$

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