Question Number 5158 by 1771727373 last updated on 24/Apr/16 $${why} \\ $$$$\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{4}}\:+\:\frac{\mathrm{1}}{\mathrm{8}}\:+\:………..\:=\:\mathrm{2} \\ $$$$ \\ $$ Answered by FilupSmith last updated on 24/Apr/16 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{4}}+…={S} \\…
Question Number 5152 by 1771727373 last updated on 23/Apr/16 $${there}\:{is}\:{an}\:{ineterger}\:{a},{b},{c} \\ $$$${can}\:{there}\:{be}\:{an}\:{interger}\:{as}\: \\ $$$${a}^{{n}} +{b}^{{n}+\mathrm{1}} ={c}^{{n}+\mathrm{2}} \:\:\:\:\:\:\left({n}\:{is}\:{a}\:{interger}\right) \\ $$$$ \\ $$ Commented by Yozzii last…
Question Number 5144 by Yozzii last updated on 19/Apr/16 $${Let}\:{n},{j},{q}\in\left(\mathbb{Z}^{+} −\left\{\mathrm{1}\right\}\right).\:{Are}\:{there}\: \\ $$$${triples}\:\left({n},{j},{q}\right)\:{such}\:{that}\:{the}\:{following} \\ $$$${conditions}\:{are}\:{satisfied}\:{altogether}? \\ $$$$\left({i}\right)\:{n}={j}^{{q}} \:\:\:\: \\ $$$$\left({ii}\right){n}^{\mathrm{2}} ={j}^{\mathrm{2}} +{q}^{\mathrm{2}} \\ $$$$−−−−−−−−−−−−−−−−−−−−−− \\…
Question Number 5125 by Rojaye Shegz last updated on 16/Apr/16 Commented by Rojaye Shegz last updated on 16/Apr/16 $$\mathrm{Sorry},\:\mathrm{that}\:\mathrm{was}\:\mathrm{an}\:\mathrm{error}. \\ $$$$\frac{\mathrm{p}}{\mathrm{q}}\:\mathrm{is}\:\mathrm{the}\:\left\{\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{p}+\mathrm{q}−\mathrm{1}\right)\left(\mathrm{p}+\mathrm{q}−\mathrm{2}\right)+\mathrm{p}\right\}\mathrm{th}\:\mathrm{term} \\ $$ Commented by…
Question Number 5082 by sandhapadarbinda@gmail.com last updated on 10/Apr/16 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =? \\ $$ Answered by FilupSmith last updated on 11/Apr/16 $$\mathrm{difference}\:\mathrm{of}\:\mathrm{two}\:\mathrm{squares} \\ $$$$ \\…
Question Number 70525 by Rasheed.Sindhi last updated on 05/Oct/19 $${If}\:{x},{y},{z}\:{is}\:{a}\:{primitive}\:{Pythagorean} \\ $$$${triple},{prove}\:{that}\:{x}+{y}\:{and}\:{x}−{y}\:{are} \\ $$$${congruent}\:{modulo}\:\mathrm{8}\:{to}\:{either}\:\mathrm{1}\:{or}\:\mathrm{7}. \\ $$ Answered by mind is power last updated on 07/Oct/19…
Question Number 136038 by frc2crc last updated on 18/Mar/21 $${Find}\:{a}_{{n}\:} {if} \\ $$$$\frac{\mathrm{1}}{{z}^{{m}} }×\mathrm{coth}\:\left(\pi{z}\right)×\mathrm{cot}\:\left({z}\pi\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {z}^{{n}} \\ $$$${around}\:{z}=\mathrm{0} \\ $$ Terms of Service Privacy…
Question Number 135963 by liberty last updated on 17/Mar/21 $$ \\ $$how many of the first triangular number have the ones zero Terms of Service…
Question Number 135958 by benjo_mathlover last updated on 17/Mar/21 $${Find}\:{the}\:{value}\:{of}\:{n}\:{such}\:{that} \\ $$$$\:\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}\:=\:{k}\:\left({mod}\:\mathrm{10}\right)\:{for} \\ $$$${n}\:{is}\:{integer}\:{number}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 70370 by Rasheed.Sindhi last updated on 04/Oct/19 $${If}\:\:{gcd}\left({p}\:,\:{q}\right)=\mathrm{1},{prove}\:{that} \\ $$$$\:\:\:\:\:{gcd}\left({p}\left({p}+{q}\right)\:,\:{q}\left({p}+{q}\right)\:,\:{pq}\right)=\mathrm{1} \\ $$$$\mathrm{R}\boldsymbol{\mathrm{elated}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{Q}}#\mathrm{69939} \\ $$ Commented by mind is power last updated on 03/Oct/19…