Category: Arithmetic

Question Number 68589 by peter frank last updated on 13/Sep/19 Answered by $@ty@m123lastupdatedon14/Sep/19$$\underset{k=2}{\sum ^n}\frac{1}{n(n+1)}$$$$=\underset{{k}=\mathrm{2}} {\overset{{n}} {\sum}}\:\left(\:\frac{\mathrm{1}}{{n}}−\frac{\mathrm{1}}{{n}+\mathrm{1}}\right) \…

Question Number 3001 by Filup last updated on 02/Dec/15 $$\mathrm{Can}\mathrm{you}\mathrm{evaluate}:$$$$S=\underset{i=k}{\sum ^n}{}^n{C}_i$$ Commented by Rasheed Soomro last updated on 02/Dec/15…

Question Number 2930 by Filup last updated on 30/Nov/15 $$\mathrm{Prove}\mathrm{that}\mathrm{\Gamma }\left(i\right)=-i\left(i\right)!$$$$\mathrm{where}i=\sqrt{-1}$$ Commented by 123456 last updated on 02/Dec/15 $$\mathrm{\Gamma }\left(z\right)\mathrm{\Gamma }(1-z)=\frac{\pi }{\sin \pi z}$$$$\Gamma\left({z}\right)\Gamma\left(−{z}\right)=−\frac{\pi}{{z}\:\mathrm{sin}\:\pi{z}} \…

Question Number 133916 by shaker last updated on 25/Feb/21 Answered by TheSupreme last updated on 25/Feb/21 $${S}_{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\frac{{e}^{{kx}} +{e}^{−{kx}} }{\mathrm{2}}=\frac{\mathrm{1}}{\mathrm{2}}\left\{\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\left({e}^{{x}} \right)^{{k}}…

Question Number 68346 by peter frank last updated on 09/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com