Category: Arithmetic

Question Number 55869 by mr W last updated on 05/Mar/19 $$if{\mathit{a}}_{\mathit{n}+2}=\frac{{\mathit{a}}_{\mathit{n}+1}^3}{{\mathit{a}}_{\mathit{n}}^2}and{a}_1=2,a_2=4$$$$find{\mathit{a}}_{\mathit{n}}=?$$ Commented by…

Question Number 186882 by Mingma last updated on 11/Feb/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 55628 by Mikael_Marshall last updated on 28/Feb/19 $$InanA.P,thesumofthefirst50termsis6275.WritethisA.P.knowingthattheratiois5.$$ Answered by kaivan.ahmadi last updated on 28/Feb/19 $$s_n=\frac{n}{2}[2a+(n-1)d]$$$$6275=25[2a+49\times 5]=25[2a+245]=$$$$\mathrm{50}{a}+\mathrm{6145}\Rightarrow\mathrm{50}{a}=\mathrm{6275}−\mathrm{6145}=\mathrm{150}\Rightarrow…

Question Number 186597 by Mingma last updated on 06/Feb/23 Answered by Frix last updated on 07/Feb/23 $$123$$$$132$$$$213$$$$231$$$$\mathrm{312}…

Question Number 121012 by mathocean1 last updated on 04/Nov/20 $$\mathrm{x};\mathrm{y};\mathrm{z}\in {\mathbb{N}}^{\ast }\mathrm{with}\mathrm{x}>3\mathrm{are}$$$$\mathrm{numbers}.$$$$\mathrm{we}\mathrm{suppose}\mathrm{that}\mathrm{y}\mathrm{is}\mathrm{equal}$$$$\mathrm{to}121\mathrm{in}\mathrm{base}\mathrm{x}\mathrm{and}\mathrm{z}\mathrm{is}\mathrm{equal}$$$$\mathrm{to}110\mathrm{in}\mathrm{base}\mathrm{x}.$$$$1)\mathrm{show}\mathrm{that}\mathrm{we}\mathrm{can}\mathrm{write}$$$$\left(\mathrm{without}\mathrm{knowing}\mathrm{x}\right)\mathrm{the}$$$$\mathrm{product}\:\mathrm{xyz}\:\mathrm{in}\:\mathrm{base}\:\mathrm{x}.…