Category: Others

Question Number 65239 by Tawa1 last updated on 26/Jul/19 Commented by mr W last updated on 26/Jul/19 $$\mathrm{9}\left({D}−\mathrm{9}\right)=\mathrm{15}^{\mathrm{2}} \\ $$$${D}=\frac{\mathrm{15}^{\mathrm{2}} }{\mathrm{9}}+\mathrm{9}=\mathrm{34} \\ $$ Commented by…

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Question Number 130748 by Dwaipayan Shikari last updated on 28/Jan/21 $$\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{3}} }−\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{11}^{\mathrm{3}} }−\frac{\mathrm{1}}{\mathrm{13}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{19}^{\mathrm{3}} }−\frac{\mathrm{1}}{\mathrm{21}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{29}^{\mathrm{3}} }−\frac{\mathrm{1}}{\mathrm{31}^{\mathrm{3}} }+.. \\ $$ Answered by mindispower last…

Question Number 65170 by Rio Michael last updated on 25/Jul/19 $${three}\:{forces}\:{F}_{\mathrm{1}} ,\:{F}_{\mathrm{2}} \:{and}\:{F}_{\mathrm{3}} \:{acts}\:{through}\:{the}\:{points}\:{with}\:{position}\:{vectors} \\ $$$$\boldsymbol{{r}}_{\mathrm{1}} ,{r}_{\mathrm{2}} \:{and}\:{r}_{\mathrm{3}} \:{respectively}\:{where} \\ $$$$\:{F}_{\mathrm{1}} \:=\left(\mathrm{3}{i}\:−\mathrm{2}{j}−\mathrm{4}{k}\right){N},\:\:\:{r}_{\mathrm{1}} =\:\left({i}\:+{k}\right){m} \\ $$$${F}_{\mathrm{2}}…

Question Number 65113 by rajesh4661kumar@gamil.com last updated on 25/Jul/19 Commented by Prithwish sen last updated on 25/Jul/19 $$\mathrm{No}.\:\mathrm{of}\:\mathrm{term}\:\mathrm{on}\:\mathrm{n}^{\mathrm{tn}} \mathrm{group}\:=\:\mathrm{2n}−\mathrm{1} \\ $$$$\mathrm{The}\:\mathrm{1}^{\mathrm{st}\:} \mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{n}^{\mathrm{th}\:} \mathrm{group} \\ $$$$=\:\frac{\left(\mathrm{n}−\mathrm{1}\right)}{\mathrm{2}}\left[\mathrm{2}+\left(\mathrm{n}−\mathrm{2}\right)\mathrm{2}\right]\:+\mathrm{1}\:=\:\left(\mathrm{n}−\mathrm{1}\right)^{\mathrm{2}}…