Question Number 111342 by pete last updated on 03/Sep/20 $$\mathrm{When}\:\mathrm{the}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{a}\:\mathrm{Geometric}\:\mathrm{Progression}\left(\mathrm{GP}\right) \\ $$$$\mathrm{with}\:\mathrm{common}\:\mathrm{ratio}\:\mathrm{r}=\mathrm{2}\:\mathrm{is}\:\mathrm{added}\:\mathrm{to}\:\mathrm{the}\:\mathrm{corresponding}\:\mathrm{terms} \\ $$$$\mathrm{of}\:\mathrm{an}\:\mathrm{Arithmetic}\:\mathrm{Provression}\:\left(\mathrm{AP}\right), \\ $$$$\mathrm{a}\:\mathrm{new}\:\mathrm{sequence}\:\mathrm{is}\:\mathrm{formed}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{first}\:\mathrm{terms} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{GP}\:\mathrm{and}\:\mathrm{AP}\:\mathrm{are}\:\mathrm{the}\:\mathrm{same}\:\mathrm{and}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{three}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{new}\:\mathrm{sequence}\:\mathrm{are} \\ $$$$\mathrm{3},\:\mathrm{7}\:\mathrm{and}\:\mathrm{11}\:\mathrm{respectively},\:\mathrm{find}\:\mathrm{the}\:\mathrm{n}^{\mathrm{th}} \:\mathrm{term} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{seauence}.…
Question Number 176849 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{The}\:\mathrm{constant}\:\mathrm{term}\:\mathrm{in}\:\mathrm{the}\:\mathrm{polynomial} \\ $$$$\mathrm{P}\left({x}\right)=\left({x}^{\mathrm{2}} +{x}−\mathrm{7}\right){Q}\left({x}+\mathrm{1}\right)+\mathrm{2}{x}+\mathrm{1} \\ $$$$\mathrm{is}\:−\mathrm{20}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{coefficients}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{polynomial}\:\mathrm{Q}\left({x}\right)\:? \\ $$ Terms of Service Privacy Policy…
Question Number 176850 by Ar Brandon last updated on 27/Sep/22 $${f}\left({x}\right)=\mathrm{2}\left({x}−\mathrm{1}\right) \\ $$$$\underset{\mathrm{50}\:\mathrm{times}} {\underbrace{\left({fofo}…{of}\right)}}\left({x}\right)=? \\ $$ Answered by mr W last updated on 27/Sep/22 $${f}\left({x}\right)=\mathrm{2}{x}−\mathrm{2}…
Question Number 176844 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}\:{x},\:{y},\:{z}\:\mathrm{are}\:\mathrm{prime}\:\mathrm{digits}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{remainder} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{negative}\:\mathrm{number}\:\mathrm{generated} \\ $$$$\mathrm{by}\:\mathrm{these}\:\mathrm{digits}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{11}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176847 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}\:{x},\:{y}\:\in\mathbb{Z} \\ $$$$\mathrm{23}!=\mathrm{2}^{{x}} \mathrm{5}^{{y}} {k} \\ $$$$\mathrm{and}\:{k}\:\mathrm{is}\:\mathrm{an}\:\mathrm{even}\:\mathrm{number},\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\: \\ $$$$\mathrm{max}\left({x}+{y}\right)\:? \\ $$ Answered by BaliramKumar last…
Question Number 176841 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}\:\mathrm{3}\:\mathrm{of}\:\mathrm{10}\:\mathrm{elective}\:\mathrm{courses}\:\mathrm{are}\:\mathrm{been}\:\mathrm{delivered}\: \\ $$$$\mathrm{at}\:\mathrm{the}\:\mathrm{same}\:\mathrm{time}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{possibilities}\: \\ $$$$\mathrm{are}\:\mathrm{there}\:\mathrm{to}\:\mathrm{take}\:\mathrm{5}\:\mathrm{courses}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176839 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}\:{a}=\mathrm{2}+\sqrt{\mathrm{15}}\:\:\mathrm{Express} \\ $$$$\:\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{15}}+\frac{\mathrm{196}}{\mathrm{54}}}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{a} \\ $$ Answered by Rasheed.Sindhi last updated on 27/Sep/22 $$\mathrm{If}\:{a}=\mathrm{2}+\sqrt{\mathrm{15}}\:\:\mathrm{Express} \\ $$$$\:\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{15}}+\frac{\mathrm{196}}{\mathrm{54}}}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{a}…
Question Number 176836 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{s}\left(\mathrm{B}'−\mathrm{A}'\right)=\mathrm{4} \\ $$$$\mathrm{s}\left(\mathrm{B}−\mathrm{A}\right)=\mathrm{6} \\ $$$$\mathrm{s}\left(\mathrm{A}\right)=\mathrm{9} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{of}\:\mathrm{B}\:\mathrm{with} \\ $$$$\mathrm{at}\:\mathrm{most}\:\mathrm{2}\:\mathrm{elements}\:? \\ $$ Commented by Rasheed.Sindhi last…
Question Number 45720 by Tawa1 last updated on 15/Oct/18 $$\underset{\boldsymbol{\mathrm{r}}\:=\:\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\boldsymbol{\sum}}}\:\:\left(\boldsymbol{\mathrm{r}}\:+\:\mathrm{1}\right)^{\mathrm{3}} \\ $$ Commented by math khazana by abdo last updated on 15/Oct/18 $$=\sum_{{k}=\mathrm{2}}…
Question Number 176785 by Ar Brandon last updated on 26/Sep/22 $$\frac{\mathrm{6}}{\mathrm{1}+{c}^{{x}} }+\frac{\mathrm{1}}{\mathrm{1}+{c}^{−{x}} }={y} \\ $$$$\mathrm{Express}\:\:\frac{\mathrm{11}}{\mathrm{1}+{c}^{{x}} }+\frac{\mathrm{1}}{\mathrm{1}+{c}^{−{x}} }\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{y} \\ $$ Commented by Ar Brandon last updated…