Category: Arithmetic

Question Number 41721 by Rio Michael last updated on 11/Aug/18 $$showthat$$$$U_n=1+nx+\frac{n(n-1)}{2!}{x}^2+\frac{n(n-1)(n-2)}{3!}{x}^3+\dots .$$$$forwhich{U}_n={(1+x)}^n.$$ Commented by maxmathsup…

Question Number 172632 by Mikenice last updated on 29/Jun/22 Commented by peter frank last updated on 29/Jun/22 $$\mathrm{thank}\mathrm{you}$$ Commented by mr W last…

Question Number 106880 by bemath last updated on 07/Aug/20 $$\stackrel{@\mathrm{bemath}@}{}$$$$\mathrm{What}\mathrm{is}\mathrm{m}\mathrm{so}\mathrm{the}\mathrm{roots}\mathrm{of}{\mathrm{x}}^4-(\mathrm{m}+2){\mathrm{x}}^2+9=0$$$$\mathrm{are}\mathrm{in}\mathrm{AP}$$ Commented by Her_Majesty last updated on…

Question Number 41305 by sameer12 last updated on 05/Aug/18 $$\left[\begin{array}{ccc}1& 2& 3\\ 3& 4& 5\\ 5& 6& 7\end{array}\right]$$$$finddeterminantofgivenmatrix?$$ Commented by MrW3 last updated on 05/Aug/18 $$row3-row2:$$$$$$\left[\begin{array}{ccc}1& 2& 3\\ 3& 4& 5\\ 2& 2& 2\end{array}\right]$$ \…

Question Number 106695 by bobhans last updated on 06/Aug/20 $$\text{You can't use 'macro parameter character \#' in math mode}$$$$3^{\mathrm{x}}-2^{\mathrm{x}+1}⩽\sqrt{2.9^{\mathrm{x}}-10.6^{\mathrm{x}}+2^{2\mathrm{x}+3}}$$$$\mathrm{find}\mathrm{the}\mathrm{solution}\mathrm{set}$$ Answered by bemath last…