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Question Number 134839 by SOMEDAVONG last updated on 07/Mar/21

Solve , S_n = 1+2×2+3×2^2 +4×2^3 +...+n×2^(n−1) .

$$\mathrm{Solve}\:,\:\mathrm{S}_{\mathrm{n}} =\:\mathrm{1}+\mathrm{2}×\mathrm{2}+\mathrm{3}×\mathrm{2}^{\mathrm{2}} +\mathrm{4}×\mathrm{2}^{\mathrm{3}} +...+\mathrm{n}×\mathrm{2}^{\mathrm{n}−\mathrm{1}} . \\ $$

Commented by mr W last updated on 07/Mar/21

see Q134200

$${see}\:{Q}\mathrm{134200} \\ $$

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