Category: Arithmetic

Question Number 156495 by chusrang last updated on 11/Oct/21 $$\mathrm{1}.\:\mathrm{Write}\:\mathrm{the}\:\mathrm{first}\:\mathrm{three}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{sequences}:\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{a}_{{n}} \:=\:\frac{\mathrm{3}^{{n}} }{\mathrm{2}^{{n}} \:+\:\mathrm{1}}\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{a}_{{n}} \:=\:\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} {n}^{\mathrm{3}} \\ $$ Answered by Rasheed.Sindhi last updated on…

Question Number 25377 by Mr eaay last updated on 09/Dec/17 Answered by mrW1 last updated on 09/Dec/17 $$\frac{\mathrm{1}}{\mathrm{15}}+\frac{\mathrm{1}}{\mathrm{12}}=\frac{\mathrm{4}+\mathrm{5}}{\mathrm{60}}=\frac{\mathrm{3}}{\mathrm{20}} \\ $$$$\frac{\mathrm{20}}{\mathrm{3}}\approx\mathrm{7} \\ $$$$\Rightarrow{in}\:\mathrm{7}\:{days}\:{the}\:{work}\:{will}\:{be} \\ $$$${completed}. \\…

Question Number 156334 by mathlove last updated on 10/Oct/21 Commented by Rasheed.Sindhi last updated on 10/Oct/21 $${Insufficient}\:\:{data}\Rightarrow{Not}\:{unique}\:{answer}. \\ $$$${Do}\:{you}\:{mean}\:{a},{b},{c}\in\mathbb{Z},\:{or}\:{any}\:{condition} \\ $$$${else}? \\ $$ Terms of…

Question Number 156295 by cortano last updated on 10/Oct/21 Answered by MJS_new last updated on 10/Oct/21 $$\frac{\mathrm{14}}{\mathrm{2}}×\left(\mathrm{14}−\frac{\mathrm{12}}{\mathrm{26}}×\mathrm{14}\right)+\frac{\mathrm{12}}{\mathrm{2}}×\left(\mathrm{12}−\frac{\mathrm{12}}{\mathrm{26}}×\mathrm{14}\right)=\mathrm{86} \\ $$ Commented by cortano last updated on…

Question Number 90637 by Tony Lin last updated on 25/Apr/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} }{tan}\left(\frac{\mathrm{1}}{\mathrm{2}^{{n}} }\right) \\ $$ Answered by TANMAY PANACEA. last updated on 25/Apr/20…