Category: Arithmetic

Question Number 161947 by mathlove last updated on 24/Dec/21 $$abc=8$$$$a+b+c=7$$$$a^3+b^3+c^3=73$$$$thenfaindthevoleof$$$$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=?$$ Answered by…

Question Number 96318 by  M±th+et+s last updated on 31/May/20 $$if$$$$(1+x)(1+x^2)\dots ..(1+x^{128})=\underset{r=0}{\sum ^n}{x}^r$$$$thenfindn$$ Commented by mr W last…

Question Number 30538 by SammyKT last updated on 23/Feb/18 $$Amanrowsaboatdownstream$$$$for3hoursandthenupstream$$$$for3hours.Ifhecovereda$$$$totaldistanceof12km,find$$$$thespeedofthewatercurrent.$$$$$$ Answered by mrW2…

Question Number 95849 by bobhans last updated on 28/May/20 $$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }\frac{1}{\mathrm{n}+1}+\frac{1}{\mathrm{n}+2}+\frac{1}{\mathrm{n}+3}+\dots +\frac{1}{\mathrm{n}+\mathrm{n}}??$$ Answered by john santu last updated on 28/May/20 $$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\:\left(\frac{\mathrm{1}}{\mathrm{n}+\mathrm{k}}\right)\:=\:\underset{\mathrm{n}\rightarrow\infty}…

Question Number 161066 by blackmamba last updated on 11/Dec/21 $$x_1,x_{2}betherootsoftheequation$$$$x^2+x+m=0\mathrm{\&}{x}_1^5+x_2^5=2021.$$$$Findthesumofthepossiblevalues$$$$ofm.$$…