Question Number 90562 by Tony Lin last updated on 24/Apr/20 $${prove}\:{that} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}{n}\left(\mathrm{2}{n}−\mathrm{1}\right)}={ln}\mathrm{2} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 90561 by Tony Lin last updated on 24/Apr/20 $${prove}\:{that} \\ $$$$\underset{{n}=\mathrm{2}} {\overset{\infty} {\prod}}\left(\mathrm{1}−\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\right)=\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 90463 by M±th+et£s last updated on 23/Apr/20 Commented by M±th+et£s last updated on 23/Apr/20 $${H}_{{k}} :\:{harmonic}\:{number} \\ $$$$\gamma\::{Euler}\:−\:{mascheroni}\:{constant} \\ $$$$\Psi\left({x}\right):\:{digamma}\:{function} \\ $$ Terms…
Question Number 155908 by Ar Brandon last updated on 05/Oct/21 $$\mathrm{Solve}\:\mathrm{for}\:{x} \\ $$$$\mathrm{3}^{{x}+\mathrm{1}} +\mathrm{100}=\mathrm{7}^{{x}−\mathrm{1}} \\ $$$$\mathrm{3}^{{x}} +\mathrm{3}^{{x}^{\mathrm{2}} } =\mathrm{2}^{{x}} +\mathrm{4}^{{x}^{\mathrm{2}} } \\ $$ Terms of…
Question Number 90341 by peter frank last updated on 22/Apr/20 $${Express}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{36}\:\:{interm} \\ $$$${conjugate}\:{coordinate} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155797 by ajfour last updated on 09/Oct/21 $${a},{b},{c},{d},{e}\:\:\left({kids}\right)\:{are}\:{in}\:{ascending} \\ $$$${order}\:{of}\:{heights}.\:{If}\:{they}\:{are} \\ $$$${to}\:{stand}\:{in}\:{a}\:{circle}\:{in}\:{a}\:{way}\:{so} \\ $$$${that}\:{the}\:{sum}\:{of}\:\mid{difference}\:{in} \\ $$$${heights}\:{of}\:{adjacent}\:{pairs}\mid \\ $$$$\:{is}\:{a}\:{minimum},\:{find}\:{this} \\ $$$$\:{minimum}. \\ $$ Commented…
Question Number 90246 by M±th+et£s last updated on 22/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 24677 by Joel578 last updated on 24/Nov/17 $$\mathrm{Let}\:{T}_{{k}} \:\mathrm{is}\:\mathrm{the}\:{k}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{and}\:\mathrm{S}_{{k}} \:\mathrm{is}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:{k}\:\mathrm{term}\:\mathrm{in}\:\mathrm{arithmetic}\:\mathrm{progression} \\ $$$$\mathrm{If}\:{T}_{\mathrm{3}} \:+\:{T}_{\mathrm{6}} \:+\:{T}_{\mathrm{9}} \:+\:{T}_{\mathrm{12}} \:+\:{T}_{\mathrm{15}} \:+\:{T}_{\mathrm{18}} \:=\:\mathrm{45} \\ $$$$\mathrm{Find}\:{S}_{\mathrm{20}}…
Question Number 24549 by math solver last updated on 20/Nov/17 Commented by math solver last updated on 20/Nov/17 $$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{ratio}\:\mathrm{is}\:?? \\ $$ Commented by prakash jain…
Question Number 90080 by peter frank last updated on 21/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com