Question Number 6843 by Tawakalitu. last updated on 30/Jul/16 $$\mathrm{2}^{\mathrm{10}} \:+\:\mathrm{3}^{\mathrm{20}} \:+\:\mathrm{4}^{\mathrm{30}} \:+\:\mathrm{5}^{\mathrm{40}} \:+\:\mathrm{6}^{\mathrm{50}} \:\:\left({mod}\:\mathrm{7}\right)\:=\:? \\ $$ Commented by prakash jain last updated on 31/Jul/16…
Question Number 137907 by peter frank last updated on 08/Apr/21 Answered by EnterUsername last updated on 08/Apr/21 $$\int_{\mathrm{1}} ^{{e}} \frac{\mathrm{1}+{lnx}}{{x}}{dx}=\int_{\mathrm{1}} ^{{e}} \left(\frac{\mathrm{1}}{{x}}+\frac{{lnx}}{{x}}\right){dx} \\ $$$$=\left[{lnx}+\frac{{ln}^{\mathrm{2}} {x}}{\mathrm{2}}\right]_{\mathrm{1}}…
Question Number 6831 by Tawakalitu. last updated on 30/Jul/16 $${Find}\:{the}\:\mathrm{100}{th}\:{digits}\:{of}\:{this}\:{sum}\: \\ $$$$\mathrm{1}\:+\:\mathrm{50}\:+\:\mathrm{50}^{\mathrm{2}} \:+\:…..\:+\:\mathrm{50}^{\mathrm{999}} \\ $$ Commented by prakash jain last updated on 31/Jul/16 $$\mathrm{How}\:\mathrm{did}\:\mathrm{you}\:\mathrm{get} \\…
Question Number 6832 by Tawakalitu. last updated on 30/Jul/16 $${What}\:{remainder}\:{does}\:\mathrm{3}^{\mathrm{6}{n}} \:−\:\mathrm{2}^{\mathrm{6}{n}} \:\:{leave}\:{when}\:{divided}\:{by}\:\mathrm{35}\:{for}\: \\ $$$${any}\:{value}\:{of}\:{n}\: \\ $$ Commented by Yozzii last updated on 30/Jul/16 $$\mathrm{3}^{\mathrm{6}{n}} −\mathrm{2}^{\mathrm{6}{n}}…
Question Number 137906 by peter frank last updated on 08/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137899 by bemath last updated on 08/Apr/21 $${Given}\:{the}\:{series}\: \\ $$$${a}_{{n}} =\:\mathrm{3}{a}_{{n}−\mathrm{1}} +\:\mathrm{2}{a}_{{n}−\mathrm{2}} \:{with}\: \\ $$$${a}_{\mathrm{1}} =\mathrm{11}\:\&\:{a}_{\mathrm{2}} \:=\:\mathrm{21}.\:{Find}\:{a}_{{n}} . \\ $$ Answered by benjo_mathlover…
Question Number 137875 by physicstutes last updated on 07/Apr/21 $$\mathrm{Proof}\:\mathrm{by}\:\mathrm{mathematical}\:\mathrm{induction}\:\mathrm{that}\: \\ $$$$\:{f}\left({n}\right)\:=\:{n}^{\mathrm{3}} \:+\:\mathrm{5}{n}\: \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{6}. \\ $$ Answered by mathmax by abdo last updated on…
Question Number 6788 by Tawakalitu. last updated on 26/Jul/16 Commented by Yozzii last updated on 27/Jul/16 $$\mathrm{60}=\mathrm{6}×\mathrm{10}=\left(\mathrm{3}×\mathrm{2}\right)\left(\mathrm{7}+\mathrm{3}\right) \\ $$$$\mathrm{17},\mathrm{23},\mathrm{32} \\ $$$${Add}\:{the}\:{two}\:{largest}\:{unit}\:{digit}\:{values}\:{among} \\ $$$${the}\:{three}\:{numbers}\:\left(\mathrm{3}\:\&\:\mathrm{7}\right)\:{and}\:{multiply}\:{this} \\ $$$${answer}\:{with}\:{the}\:{two}\:{largest}\:{digit}\:{values}\:{in}…
Question Number 6786 by Rasheed Soomro last updated on 25/Jul/16 $${Three}\:{Arabs}\:{A},{B}\:{and}\:{C}\:{were}\:{traveling} \\ $$$${together}.\:{On}\:{the}\:{lunch}\:{time}\:{A}\:{and}\:\:{B} \\ $$$${produce}\:{m}\:{and}\:\:{n}\:{loaves}\:{of}\:{bread}\:{respectively} \\ $$$${for}\:{eating}\:{but}\:{C}\:{have}\:{no}\:{loaf}\:{of}\:{bread}.\:{All} \\ $$$${the}\:{three}\:{ate}\:{together}.\:\:{After}\:{completing} \\ $$$${lunch}\:{C}\:\:{gave}\:{A}\:{and}\:{B}\:{m}+{n}\:{darhams}. \\ $$$${How}\:{shoud}\:{they}\:{divide}\:{this}\:{sum}? \\ $$$$…
Question Number 6739 by Tawakalitu. last updated on 20/Jul/16 $${Find}\:{the}\:\mathrm{102}{rd}\:{term}\:{of}\:\:\:{f}\left({x}\right)\:=\:{e}^{\mathrm{2}{x}^{\mathrm{3}} } \:\:\:{at}\:\:{x}\:=\:\mathrm{0} \\ $$ Answered by Yozzii last updated on 20/Jul/16 $${f}\left({u}\right)={e}^{{u}} =\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{u}^{{n}}…