Question Number 7227 by FilupSmith last updated on 17/Aug/16 $${S}=\underset{{t}=\mathrm{1}} {\overset{{n}} {\sum}}\left(−\mathrm{1}\right)^{{t}} {t}^{{k}} {k}^{−{n}} ,\:{k}>\mathrm{1} \\ $$$$\mathrm{Solve}\:\mathrm{for}\:{S} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 138295 by greg_ed last updated on 12/Apr/21 $$\boldsymbol{\mathrm{hi}}\:! \\ $$$$\boldsymbol{\mathrm{Simplify}}\::\:{for}\:{n}\:\in\:\mathbb{N}^{\ast} ,\:\:{S}_{{n}} \:=\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\:\frac{\mathrm{3}{k}+\mathrm{8}}{{k}\left({k}+\mathrm{2}\right)\mathrm{2}^{{k}} }\:. \\ $$ Answered by mr W last updated…
Question Number 7211 by Tawakalitu. last updated on 16/Aug/16 $${Find}\:{the}\:{next}\:{time}\:{of}\:{the}\:{sequence}\: \\ $$$$−\mathrm{1},\:\mathrm{8},\:\mathrm{49},\:\mathrm{68},\:\mathrm{131},\:….. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7163 by Tawakalitu. last updated on 14/Aug/16 Commented by sou1618 last updated on 14/Aug/16 $$\underset{{a}=\mathrm{1}} {\overset{\mathrm{4}} {\sum}}\left(\underset{{b}=\mathrm{0}} {\overset{\mathrm{4}} {\sum}}{a}^{{b}} \right)=\underset{{a}=\mathrm{1}} {\overset{\mathrm{4}} {\sum}}\left({a}^{\mathrm{0}} +{a}^{\mathrm{1}}…
Question Number 7102 by Tawakalitu. last updated on 10/Aug/16 Commented by 123456 last updated on 10/Aug/16 $${S}_{\mathrm{0}} =\mathrm{2} \\ $$$${S}_{\mathrm{1}} =\mathrm{2} \\ $$ Commented by…
Question Number 7063 by Tawakalitu. last updated on 08/Aug/16 Commented by Tawakalitu. last updated on 08/Aug/16 $${Find}\:{the}\:{product}\:{of}\:{the}\:{question}\:{above}. \\ $$$${Please}. \\ $$ Commented by Yozzii last…
Question Number 138120 by Ari last updated on 10/Apr/21 Commented by Ari last updated on 10/Apr/21 $$\mathrm{If}\:\mathrm{anyone}\:\mathrm{could}\:\mathrm{help}? \\ $$ Answered by nimnim last updated on…
Question Number 7043 by Tawakalitu. last updated on 07/Aug/16 $${Resolve}\:{into}\:{factors} \\ $$$$ \\ $$$${x}^{\mathrm{35}} \:+\:{x}^{\mathrm{19}} \:+\:{x}^{\mathrm{17}} \:+\:{x}^{\mathrm{2}} \:−\:\mathrm{1} \\ $$$$ \\ $$$$ \\ $$ Commented…
Question Number 7009 by Tawakalitu. last updated on 05/Aug/16 Commented by FilupSmith last updated on 06/Aug/16 $$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:\left(−\mathrm{1}\right)^{\infty} \\ $$$$\mathrm{if}\:\mathrm{so}: \\ $$$$−\mathrm{1}={e}^{{i}\pi} \\ $$$$\therefore\mathrm{let}\:{z}=\left(−\mathrm{1}\right)^{{x}} ={e}^{{i}\pi{x}} \\…
Question Number 138037 by greg_ed last updated on 09/Apr/21 $$\underline{\boldsymbol{\mathrm{States}}} \\ $$$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{increase}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{population}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{country}}\:\boldsymbol{\mathrm{is}} \\ $$$$\boldsymbol{\mathrm{proportional}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{population}}. \\ $$$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{population}}\:\boldsymbol{\mathrm{doubles}}\:\boldsymbol{\mathrm{every}}\:\mathrm{50}\:\boldsymbol{\mathrm{years}}. \\ $$$$\boldsymbol{\mathrm{How}}\:\boldsymbol{\mathrm{quickly}}\:\boldsymbol{\mathrm{does}}\:\boldsymbol{\mathrm{it}}\:\boldsymbol{\mathrm{triple}}\:? \\ $$ Answered by MJS_new last updated…