Category: Arithmetic

Question Number 9752 by tawakalitu last updated on 30/Dec/16 Answered by mrW last updated on 31/Dec/16 $$\mathrm{let}{\mathrm{a}}_1\mathrm{be}\mathrm{the}\mathrm{first}\mathrm{term}\mathrm{and}$$$$\mathrm{d}\mathrm{the}\mathrm{common}\mathrm{difference}\mathrm{of}\mathrm{the}\mathrm{A}.\mathrm{P}.$$$$$$$$\mathrm{N}=\frac{\left[\mathrm{2a}_{\mathrm{1}} +\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d}\right]×\mathrm{n}}{\mathrm{2}}…

Question Number 9517 by Joel575 last updated on 12/Dec/16 $$f\left(1\right)+f\left(2\right)+f\left(3\right)+\dots +f\left(n\right)=n^2.f\left(n\right)$$$$n>1;f\left(1\right)=2016$$$$\mathrm{So},f\left(2016\right)=?$$ Commented by sou1618 last updated on 12/Dec/16 $$…

Question Number 9460 by tawakalitu last updated on 09/Dec/16 Answered by sou1618 last updated on 09/Dec/16 $$\sqrt{11-2}=\sqrt{10+1-2}=\sqrt{9}=3$$$$\sqrt{1111-22}=\sqrt{1000+100+10+1-20-2}=\sqrt{1089}=33$$$$\dots \dots$$$${X}=\sqrt{\mathrm{1111}……\mathrm{11}_{\mathrm{2000}{digits}} −\mathrm{22}…\mathrm{2}_{\mathrm{1000}{digits}} }…

Question Number 74948 by vishalbhardwaj last updated on 04/Dec/19 $$\mathrm{The}\mathrm{hhpotenuse}\mathrm{of}\mathrm{a}\mathrm{right}\mathrm{angled}\mathrm{triangle}$$$$\mathrm{has}\mathrm{its}\mathrm{ends}\mathrm{at}\mathrm{the}\mathrm{points}(1,3)\mathrm{and}(-4,1)$$$$.\mathrm{Find}\mathrm{an}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{legs}(\mathrm{perpendicar}$$$$\mathrm{sides})\mathrm{of}\mathrm{the}\mathrm{triangle}.$$ Answered by MJS last updated on 04/Dec/19…

Question Number 74923 by aliesam last updated on 04/Dec/19 $$\underset{k=1}{\sum ^n}{k}^3={\left[\frac{n(n+1)}{2}\right]}^2$$ Commented by aliesam last updated on 04/Dec/19 $$godblessyou$$…