Category: Algebra

Question Number 30916 by Tinkutara last updated on 28/Feb/18 Commented by Tinkutara last updated on 28/Feb/18 Answer is Answered by $@ty@mlastupdatedon28/Feb/18$$\mathrm{ln}\:\left(\mathrm{1}+{x}\right)={x}−\frac{{x}^{\mathrm{2}}…

Question Number 161952 by mathlove last updated on 24/Dec/21 $$!!8=?$$ Commented by Rasheed.Sindhi last updated on 24/Dec/21 $$You{don}^{\prime }tseetheanswersofyour$$$$questions,Ithink.$$$${Only}\:{you}\:{put}\:{your}\:{questions}\:{on}\:{the} \…

Question Number 161946 by mathlove last updated on 24/Dec/21 Answered by Rasheed.Sindhi last updated on 29/Dec/21 $$x+y(x+1)=3\Rightarrow y=\frac{3-x}{x+1}$$$$\Rightarrow y+1=\frac{3-x+x+1}{x+1}=\frac{4}{x+1}$$$$y+z(y+1)=5\Rightarrow \frac{3-x}{x+1}+z\left(\frac{4}{x+1}\right)=5$$$$\Rightarrow 3-x+4z=5x+5\Rightarrow x=\frac{2z-1}{3}$$$${z}+{x}\left({z}+\mathrm{1}\right)=\mathrm{7}\Rightarrow{z}+\left(\frac{\mathrm{2}{z}−\mathrm{1}}{\mathrm{3}}\right)\left({z}+\mathrm{1}\right)=\mathrm{7}…

Question Number 30860 by ajfour last updated on 27/Feb/18 $$S=3(1!)-4(2!)+5(3!)-6(4!)+\dots .$$$$\dots ..-\left(2008\right)(2006!)+2007!$$$$FindvalueofS.$$ Answered by MJS last updated on 27/Feb/18 $$\mathrm{3}\centerdot\mathrm{1}!−\mathrm{4}\centerdot\mathrm{2}!=−\mathrm{5}\:\left[=−\left(\mathrm{3}!−\mathrm{1}\right)\right] \…

Question Number 161930 by Rasheed.Sindhi last updated on 24/Dec/21 $$\{\begin{array}{l}{a}_0=-2\\ a_n=a_{n-1}+2n\end{array};a_n=?$$ Answered by mr W last updated on 24/Dec/21 $${a}_{{n}}…