Question Number 202774 by BaliramKumar last updated on 03/Jan/24 $$\mathrm{1}.\:\:\:\:\:\:\mathrm{S}_{\mathrm{n}} \:=\:\mathrm{a}\left(\mathrm{a}+\mathrm{d}\right)+\left(\mathrm{a}+\mathrm{d}\right)\left(\mathrm{a}+\mathrm{2d}\right)+……+\left\{\mathrm{a}+\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d}\right\}\left\{\mathrm{a}+\left(\mathrm{n}\right)\mathrm{d}\right\} \\ $$$$\mathrm{2}.\:\:\:\:\:\:\mathrm{S}_{\mathrm{n}} \:=\:\mathrm{a}\left(\mathrm{a}+\mathrm{d}\right)\left(\mathrm{a}+\mathrm{2d}\right)+\left(\mathrm{a}+\mathrm{d}\right)\left(\mathrm{a}+\mathrm{2d}\right)\left(\mathrm{a}+\mathrm{3d}\right)+……+\left\{\mathrm{a}+\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d}\right\}\left\{\mathrm{a}+\left(\mathrm{n}\right)\mathrm{d}\right\}\left\{\mathrm{a}+\left(\mathrm{n}+\mathrm{1}\right)\mathrm{d}\right\} \\ $$$$ \\ $$ Answered by Rasheed.Sindhi last updated on 03/Jan/24…
Question Number 202771 by ali009 last updated on 03/Jan/24 $${determine}\:{whether}\:{this}\:{signal}\:{is}\:{periodic} \\ $$$${or}\:{not}\:{if}\:{it}'{s}\:{periodic}\:{specify}\:{it}'{s}\: \\ $$$${faundemwntal}\:{period} \\ $$$${y}\left({n}\right)={cos}\left(\frac{{n}}{\mathrm{8}}\right){cos}\left(\frac{{n}\pi}{\mathrm{8}}\right)\: \\ $$ Answered by Frix last updated on 03/Jan/24…
Question Number 202796 by MathematicalUser2357 last updated on 03/Jan/24 $$\left[\mathrm{2}^{\mathrm{8}\boldsymbol{\div}\mathrm{2}−\mathrm{1}} +\mathrm{4}\boldsymbol{\div}\left\{\mathrm{2}+\mathrm{2}^{\mathrm{4}\boldsymbol{\div}\left(\mathrm{1}+\mathrm{1}\right)} \boldsymbol{\div}\left(\mathrm{6}\boldsymbol{\div}\mathrm{3}−\mathrm{1}\right)\right\}\right]\boldsymbol{\div}\left[\mathrm{6}\boldsymbol{\div}\left\{\left(\mathrm{3}^{\mathrm{4}\boldsymbol{\div}\mathrm{2}} +\mathrm{5}\boldsymbol{\div}\mathrm{5}\right)\boldsymbol{\div}\mathrm{2}−\mathrm{6}\boldsymbol{\div}\left(\mathrm{5}−\mathrm{2}\right)\right\}\right] \\ $$ Answered by a.lgnaoui last updated on 03/Jan/24 $$\mathrm{si}\:\left(\:\frac{.}{.}\right)\:\:\mathrm{est}\:\mathrm{une}\:\mathrm{operation}\:\mathrm{de}\left[\mathrm{division}\right. \\ $$$$\:\:\Rightarrow\:\mathrm{Expression}\:\mathrm{est}\:\mathrm{equivalente}\:\mathrm{a}…
Question Number 202795 by mathlove last updated on 03/Jan/24 $${if}\:{f}\left(−\mathrm{1}\right)={f}\left(\mathrm{0}\right)={f}\left(\mathrm{2}\right)=\mathrm{0}\:{and}\:{f}\left(\mathrm{1}\right)=\mathrm{6} \\ $$$${then}\:{find}\:{f}\left({x}\right)=? \\ $$ Answered by AST last updated on 03/Jan/24 $${If}\:{f}\left({x}\right)\:{is}\:{a}\:{polynomial}:\:{x}\left({x}+\mathrm{1}\right)\left({x}−\mathrm{2}\right)\left({x}−\mathrm{4}\right) \\ $$ Answered…
Question Number 202820 by a.lgnaoui last updated on 04/Jan/24 $$\boldsymbol{\mathrm{U}}\mathrm{ne}\:\mathrm{dette}\:\:\mathrm{de}\:\mathrm{100}\:\mathrm{000}\:\mathrm{Euros}\:\mathrm{a}\:\mathrm{ete}\:\mathrm{acorde}\:\mathrm{a}\:\mathrm{une}\:\mathrm{personne}\: \\ $$$$\mathrm{pour}\:\mathrm{une}\:\mathrm{duree}\:\boldsymbol{\mathrm{de}}\:\mathrm{3}\:\boldsymbol{\mathrm{mois}}\:\mathrm{sans}\:\mathrm{interet}\:\mathrm{suiuvant}\: \\ $$$$\mathrm{condions}\:\mathrm{suivantes} \\ $$$$\bullet\mathrm{un}\:\mathrm{capital}\:\mathrm{de}\:\mathrm{500}\:\mathrm{000}\:\mathrm{euros}\:\mathrm{au}\:\mathrm{moins}\: \\ $$$$\:\mathrm{dans}\:\mathrm{le}\:\mathrm{compte}\:\mathrm{du}\:\mathrm{debiteur}. \\ $$$$\bullet\mathrm{un}\:\mathrm{specimen}\:\mathrm{de}\:\mathrm{cheque}\:\mathrm{barre}\: \\ $$$$\bullet\mathrm{un}\:\mathrm{interet}\:\mathrm{de}\:\mathrm{5\%}\:\mathrm{aplique}\:\:\mathrm{a}\:\mathrm{partir}\:\mathrm{du}\: \\ $$$$\boldsymbol{\mathrm{deuxieme}}\:\boldsymbol{\mathrm{mois}}\:\:\mathrm{et}\:\mathrm{pendant}\:\mathrm{1}\:\mathrm{mois}\: \\…
Question Number 202816 by ajfour last updated on 03/Jan/24 Commented by ajfour last updated on 03/Jan/24 $${With}\:{what}\:{constant}\:{force}\:{should} \\ $$$${trolley}\:{be}\:{pushed}\:{towards}\:{left}\:{such} \\ $$$${that}\:{inclination}\:{of}\:{plank}\:{dont}\:{change} \\ $$$${and}\:{system}\:{moves}\:{at}\:{uniform}\:{speed}? \\ $$…
Question Number 202749 by Skabetix last updated on 02/Jan/24 Commented by Rasheed.Sindhi last updated on 06/Jan/24 $${What}\:{does}\:{the}\:{question}\:{say}? \\ $$$${pl}\:{translate}\:{in}\:{English}. \\ $$ Commented by Rasheed.Sindhi last…
Question Number 202750 by esmaeil last updated on 02/Jan/24 $${place}\left(\mathrm{1}\rightarrow\mathrm{25}\right) \\ $$$${in}\:{table}\left(\mathrm{5}×\mathrm{5}\right){in}\:{such}\:{away}\:{that} \\ $$$${the}\:{sum}\:{is}\:{constant}\:{in}\:{all}\:{directions}. \\ $$$$\left[\:\mid\underset{−} {\overset{−} {×}}\mid\:\right]\rightarrow\left({direction}\right) \\ $$ Commented by esmaeil last updated…
Question Number 202747 by MathedUp last updated on 02/Jan/24 $$\mathrm{Series}\:\:\Sigma\:\frac{\left(−\mathrm{1}\right)^{{h}−\mathrm{1}} }{{p}_{{h}} }\:\mathrm{is}\:\mathrm{Converge}??\:{h}\in\mathbb{Z}^{+} \:,\:{p}_{{h}} \in\mathbb{P}^{+} \\ $$$$\mathbb{P}^{+} =\:\mathrm{2}\:,\:\mathrm{3}\:,\:\mathrm{5}\:,\:\mathrm{7}\:,\:\mathrm{11}\:,\:\mathrm{13}\:,\:….\: \\ $$ Answered by Mathspace last updated on…
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