Category: Arithmetic

Question Number 80036 by jagoll last updated on 30/Jan/20 $$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{1}{(n+1)(n+2)(n+3)}=$$ Commented by john santu last updated on 30/Jan/20 $$\underset{\mathrm{p}\rightarrow\infty} {\mathrm{lim}}\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{p}}…

Question Number 145474 by Ppmaurya last updated on 05/Jul/21 $$\mathrm{R}\mathrm{C}\mathrm{Classes}$$$$\mathrm{M}.\mathrm{M}.-3010\mathrm{th}-\mathrm{Maths}\mathrm{Test}\mathrm{Time}\mathrm{Duration}:40\min .$$$$\mathrm{If}\mathrm{the}\mathrm{given}\mathrm{expression}\mathrm{is}\mathrm{an}\mathrm{AP}\mathrm{then}$$$$\mathrm{write}\mathrm{the}\mathrm{common}\mathrm{difference}\mathrm{and}\mathrm{write}\mathrm{three}\mathrm{more}\mathrm{terms}$$$$\mathrm{Q}.1)3,3+\sqrt{2,}3+2\sqrt{2},3+3\sqrt{2}\dots \dots ..$$$$$$$$\mathrm{Q}.2)\sqrt{2},\sqrt{8},\sqrt{18},\sqrt{32},\dots \dots$$$$\left.\:\:\mathrm{Q}.\mathrm{3}\right)\:\:\mathrm{Derive}\:\mathrm{the}\:\mathrm{formula}\:\:\mathrm{a}_{\mathrm{n}} =\:\mathrm{a}+\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d}…

Question Number 145286 by physicstutes last updated on 03/Jul/21 $$\mathrm{Given}\mathrm{the}\mathrm{function}$$$$f\left(x\right)=\sqrt[3]{6x^2-x^3}$$$$\mathrm{Find}\mathrm{the}\mathrm{oblique}\mathrm{assymptote}\left(\mathrm{s}\right)\mathrm{of}\mathrm{the}\mathrm{function}.$$ Answered by Olaf_Thorendsen last updated on 04/Jul/21…

Question Number 79719 by Ell Tee last updated on 27/Jan/20 $$\text{Missing left or extra right}$$$$$$ Commented by MJS last updated on 27/Jan/20 $$\frac{{a}^{\mathrm{2}}…

Question Number 79647 by john santu last updated on 27/Jan/20 $$\mathrm{discussion}\mathrm{back}\mathrm{with}\mathrm{mr}\mathrm{W}.$$$$\mathrm{consider}\mathrm{this}\mathrm{equation}$$$$({\mathrm{x}}^2-2\mathrm{x}-3)(3^{\mathrm{x}}-27)=0$$$$\mathrm{does}\mathrm{the}\mathrm{equation}\mathrm{have}\mathrm{two}\mathrm{roots}$$$$\mathrm{or}\mathrm{three}\mathrm{roots}?$$ Commented by…