Category: Number Theory

Question Number 5158 by 1771727373 last updated on 24/Apr/16 $$why$$$$1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\dots \dots \dots ..=2$$$$$$ Answered by FilupSmith last updated on 24/Apr/16 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{4}}+…={S} \…

Question Number 5144 by Yozzii last updated on 19/Apr/16 $$Letn,j,q\in ({\mathbb{Z}}^{+}-\left\{1\right\}).Arethere$$$$triples(n,j,q)suchthatthefollowing$$$$conditionsaresatisfiedaltogether?$$$$\left(i\right)n=j^q$$$$\left(ii\right)n^2=j^2+q^2$$$$−−−−−−−−−−−−−−−−−−−−−− \…

Question Number 5082 by sandhapadarbinda@gmail.com last updated on 10/Apr/16 $$a^2-b^2=?$$ Answered by FilupSmith last updated on 11/Apr/16 $$\mathrm{difference}\mathrm{of}\mathrm{two}\mathrm{squares}$$$$ \…

Question Number 136038 by frc2crc last updated on 18/Mar/21 $$Find{a}_{n}if$$$$\frac{1}{z^m}\times \coth \left(\pi z\right)\times \cot \left(z\pi \right)=\underset{n=0}{\sum ^{\mathrm{\infty }}}{a}_n{z}^n$$$$aroundz=0$$ Terms of Service Privacy…

Question Number 135958 by benjo_mathlover last updated on 17/Mar/21 $$Findthevalueofnsuchthat$$$$\frac{n(n+1)}{2}=k\left(mod10\right)for$$$$nisintegernumber$$ Terms of Service Privacy Policy Contact: info@tinkutara.com