Category: Algebra

Question Number 76793 by necxxx last updated on 30/Dec/19 $$Thesumofthefirstntermsofaseries$$$$isgivenby:S_n=n^2+7n+2.$$$$\left(i\right)Findaformulaforthenthterm$$$$\left(ii\right)writedownthefirst5termsofthe$$$$sequence$$$$$$ Commented…

Question Number 142325 by loveineq last updated on 30/May/21 $$\mathrm{Given}\mathrm{that}a⩾1⩾b>0.\mathrm{Prove}\mathrm{the}\mathrm{followings}:$$$$\left(1\right)\frac{1}{2}{(a-b)}^2⩽{(a-1)}^2+{(1-b)}^2⩽{(a-b)}^2$$$$\left(2\right)\frac{1}{4}{(a-b)}^3⩽{(a-1)}^3+{(1-b)}^3⩽{(a-b)}^3$$$$$$…

Question Number 11245 by uni last updated on 18/Mar/17 $$cos10\times cos20\times cos40=?$$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 18/Mar/17 $$\frac{2sin10.cos10.cos20.cos40}{2sin10}=$$$$\frac{sin20.cos20.cos40}{2sin10}=\frac{\frac{1}{2}sin40.cos40}{2sin10}=$$$$\frac{\frac{\mathrm{1}}{\mathrm{4}}{sin}\mathrm{80}}{\mathrm{2}{sin}\mathrm{10}}=\frac{\mathrm{1}}{\mathrm{8}}.\frac{{cos}\mathrm{10}}{{sin}\mathrm{10}}=\frac{\mathrm{1}}{\mathrm{8}}\mathrm{cot}\:\mathrm{10}\:\:\blacksquare \…

Question Number 76772 by Master last updated on 30/Dec/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 76771 by Master last updated on 30/Dec/19 Terms of Service Privacy Policy Contact: info@tinkutara.com