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Question Number 152950 by john_santu last updated on 03/Sep/21

((1/2))+((1/3)+(2/3))+((1/4)+(2/4)+(3/4))+...+((1/8)+(2/8)+...+(7/8))=?

$$\left(\frac{\mathrm{1}}{\mathrm{2}}\right)+\left(\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{3}}\right)+\left(\frac{\mathrm{1}}{\mathrm{4}}+\frac{\mathrm{2}}{\mathrm{4}}+\frac{\mathrm{3}}{\mathrm{4}}\right)+...+\left(\frac{\mathrm{1}}{\mathrm{8}}+\frac{\mathrm{2}}{\mathrm{8}}+...+\frac{\mathrm{7}}{\mathrm{8}}\right)=? \\ $$

Commented by MJS_new last updated on 03/Sep/21

14

$$\mathrm{14} \\ $$

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