Question Number 101779 by I want to learn more last updated on 04/Jul/20 $$\mathrm{If}\:\:\:\:\mathrm{S}_{\mathrm{n}} \:\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\:\mathrm{n}\:\:\mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{A}.\mathrm{P}. \\ $$$$\mathrm{Express}\:\:\:\mathrm{S}_{\mathrm{2k}} \:\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\:\:\mathrm{S}_{\mathrm{k}} \:\:\mathrm{and}\:\:\:\mathrm{S}_{\mathrm{3k}} \\ $$ Answered by bemath last…
Question Number 36163 by bshahid010@gmail.com last updated on 29/May/18 Commented by abdo mathsup 649 cc last updated on 29/May/18 $${let}\:{put}\:\:{A}_{{n}} =\:\prod_{{k}=\mathrm{2}} ^{{n}} \:\left(\:\:\mathrm{1}\:−\frac{\mathrm{1}}{{k}^{\mathrm{2}} }\right) \\…
Question Number 36120 by anuyadavdeepak@gmail.com last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{200}×\mathrm{1080}} \\ $$ Answered by Joel579 last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{2}\:.\:\mathrm{100}\:.\:\mathrm{36}\:.\:\mathrm{3}\:.\:\mathrm{2}\:.\:\mathrm{5}} \\ $$$$\left(\mathrm{3}\:.\:\mathrm{2}\:.\:\mathrm{10}\:.\:\mathrm{6}\right)\sqrt{\mathrm{15}} \\ $$$$\mathrm{360}\sqrt{\mathrm{15}} \\…
Question Number 36119 by anuyadavdeepak@gmail.com last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{43}\hat {\mathrm{3}}} \\ $$ Commented by Joel579 last updated on 29/May/18 $$\mathrm{since}\:\mathrm{433}\:\mathrm{is}\:\mathrm{prime}\:\mathrm{number},\:\mathrm{it}\:\mathrm{can}'\mathrm{t}\:\mathrm{be}\:\mathrm{simplified} \\ $$ Commented by…
Question Number 167152 by cortano1 last updated on 08/Mar/22 Commented by som(math1967) last updated on 08/Mar/22 $$\:{x}^{\mathrm{2}} =\mathrm{28}\:? \\ $$ Commented by cortano1 last updated…
Question Number 101491 by bobhans last updated on 03/Jul/20 Commented by bemath last updated on 03/Jul/20 $$\sqrt{\frac{\mathrm{2x}^{\mathrm{2}} +\mathrm{17x}−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{5x}−\mathrm{36}\right)}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:− \\ $$$$\sqrt{\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{5x}+\mathrm{4}+\mathrm{x}}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:=\:\frac{\mathrm{8}}{\:\sqrt{\mathrm{5}}\:} \\ $$$$\sqrt{\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{12x}+\mathrm{36}}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:−\sqrt{\frac{\mathrm{x}^{\mathrm{2}}…
Question Number 101185 by Shazneen last updated on 01/Jul/20 $${In}\:{an}\:{arithmetic}\:{progression}\:{the}\:{sum}\:{of}\:{the}\:{third}\:{term}\:{and}\:\mathrm{8}{th}\:{term}\:{is}\:\mathrm{49}\:{and}\:{the}\:{sum}\:{of}\:{the}\:\:\mathrm{5}{th}\:{and}\:\mathrm{9}{th}\:{term}\:{is}\:\mathrm{58}.{Find}\:{the}\:{first}\:{term}\:{and}\:{the}\:{common}\:{difference}\:{using}\:{simultaneous}\:{equations}. \\ $$ Answered by $@y@m last updated on 01/Jul/20 $${a}+\mathrm{2}{d}+{a}+\mathrm{7}{d}=\mathrm{49}\:\&\:{a}+\mathrm{4}{d}+{a}+\mathrm{8}{d}=\mathrm{58} \\ $$$$\mathrm{2}{a}+\mathrm{9}{d}=\mathrm{49} \\ $$$$\mathrm{2}{a}+\mathrm{12}{d}=\mathrm{58} \\…
Question Number 101183 by PengagumRahasiamu last updated on 01/Jul/20 Answered by $@y@m last updated on 01/Jul/20 $$\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4}…..\right\}={Natural}\:{numbers} \\ $$$$\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4}…..\right\}={Whole}\:{numbers} \\ $$ Commented by 1549442205 last…
Question Number 101078 by Coronavirus last updated on 30/Jun/20 $${find}\:\:{the}\:\:{following}\:\:\:{sum} \\ $$$$\:\:\:\:\:\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{C}_{\:{n}} ^{\:{k}} {x}^{−{k}} \left({k}−\mathrm{1}\right)! \\ $$ Answered by abdomathmax last updated on…
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