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Question Number 115133 by ZiYangLee last updated on 23/Sep/20 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sequence}\:\left\{{a}_{{n}} \right\}\:\mathrm{is}\:\mathrm{defined} \\ $$$$\mathrm{as}\:{a}_{\mathrm{1}} =\mathrm{2},\:\mathrm{and}\:{a}_{{n}+\mathrm{1}} ={a}_{{n}} +\left(\mathrm{2}{n}−\mathrm{1}\right)\:\mathrm{for}\:\mathrm{all}\:{n}\geqslant\mathrm{1}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{last}\:\mathrm{two}\:\mathrm{digits}\:\mathrm{of}\:{a}_{\mathrm{100}} . \\ $$ Answered by Olaf last…

Question Number 115105 by Khalmohmmad last updated on 23/Sep/20 Answered by Dwaipayan Shikari last updated on 23/Sep/20 $${x}=\frac{\mathrm{1}\pm\sqrt{\mathrm{1}+\mathrm{8}}}{\mathrm{4}{i}}=−{i}\:{or}\frac{{i}}{\mathrm{2}} \\ $$ Terms of Service Privacy Policy…

Question Number 49553 by ggny last updated on 07/Dec/18 Commented by mr W last updated on 07/Dec/18 $$\angle\mathrm{1}=\angle\mathrm{3} \\ $$$$\angle\mathrm{1}+\angle\mathrm{3}=\mathrm{90}° \\ $$$$\Rightarrow\mathrm{2}\angle\mathrm{1}=\mathrm{90}° \\ $$$$\Rightarrow\angle\mathrm{1}=\mathrm{45}° \\…

Question Number 115085 by Khalmohmmad last updated on 23/Sep/20 Commented by mohammad17 last updated on 23/Sep/20 $${x}={vy}\Rightarrow\frac{{dx}}{{dy}}={v}+{y}\frac{{dv}}{{dy}} \\ $$$$ \\ $$$${when}:\frac{{dx}}{{dy}}=\frac{\mathrm{2}{e}^{\frac{{x}}{{y}}} −\mathrm{2}{e}^{\frac{{x}}{{y}}} \frac{{x}}{{y}}}{−\mathrm{1}−\mathrm{2}{e}^{\frac{{x}}{{y}}} } \\…

Question Number 180614 by yaslm last updated on 14/Nov/22 Terms of Service Privacy Policy Contact: info@tinkutara.com