Category: Others

Question Number 106694 by 175mohamed last updated on 06/Aug/20 Answered by bobhans last updated on 06/Aug/20 $${\mathrm{U}}_{\mathrm{n}}=\frac{2\mathrm{n}+1}{\mathrm{n}(\mathrm{n}+1)(\mathrm{n}+2)}\Rightarrow \underset{\mathrm{n}=1}{\sum ^{40}}\frac{2\mathrm{n}+1}{\mathrm{n}(\mathrm{n}+1)(\mathrm{n}+2)}$$$$\mathrm{decomposition}\mathrm{fraction}$$$$\frac{\mathrm{2n}+\mathrm{1}}{\mathrm{n}\left(\mathrm{n}+\mathrm{1}\right)\left(\mathrm{n}+\mathrm{2}\right)}\:=\:\frac{\mathrm{A}}{\mathrm{n}}\:+\:\frac{\mathrm{B}}{\mathrm{n}+\mathrm{1}}\:+\:\frac{\mathrm{C}}{\mathrm{n}+\mathrm{2}} \…

Question Number 172220 by Sotoberry last updated on 24/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 106653 by Dwaipayan Shikari last updated on 06/Aug/20 $$30+144+420+960+1890+3360+\dots n$$ Commented by Dwaipayan Shikari last updated on 06/Aug/20 $${y}_{\mathrm{0}} \:\:\:\:\:\:\bigtriangleup{y}_{\mathrm{0}} \:\:\:\:\bigtriangleup^{\mathrm{2}} {y}_{\mathrm{0}}…

Question Number 106630 by zahaku last updated on 06/Aug/20 $$Findninthisequation:$$$${(-2)}^n=4096$$ Answered by bemath last updated on 06/Aug/20 $$\left(−\mathrm{2}\right)^{\mathrm{n}} =\left(\mathrm{1024}\right)×\mathrm{4}=\left(\mathrm{2}\right)^{\mathrm{12}} =\left(−\mathrm{2}\right)^{\mathrm{12}}…

Question Number 172099 by Mastermind last updated on 23/Jun/22 $$TheprobabilitythatAbiolawillbe$$$$latetoofficeonagivendayis\frac{2}{5}.in$$$$agivenweekofsixdays,findthe$$$$1)probabilitythathewillbelateof$$$$only3days$$$$2)notbelateintheweek$$ Answered by mr…