Category: Algebra

Question Number 139737 by mathsuji last updated on 30/Apr/21 $$FindthevalueofXsuchthat:$$$$1\cdot 5\cdot 9\cdot 13\cdot 17\cdot \dots \cdot 2021\equiv X\left(mod1000\right)$$ Answered by mindispower last updated on 01/May/21 $${A}=\underset{{k}=\mathrm{0}} {\overset{\mathrm{505}} {\prod}}\left(\mathrm{1}+\mathrm{4}{k}\right)\equiv{X}\left[\mathrm{1000}\right] \…

Question Number 74196 by kennethalli last updated on 20/Nov/19 $$solveforx:$$$$4^x+6^x=9^x$$ Commented by MJS last updated on 20/Nov/19 $$\mathrm{see}\:\mathrm{question}\:\mathrm{74168} \…

Question Number 8661 by FilupSmith last updated on 20/Oct/16 $$p_n=n^{th}\mathrm{prime}\mathrm{number}$$$$p_1=2,p_2=3,p_3=5,\dots$$$$$$$$\mathrm{Does}\mathrm{the}\mathrm{following}\mathrm{converge}:$$$$\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{p}_{{i}}…

Question Number 74168 by mr W last updated on 19/Nov/19 Commented by mr W last updated on 19/Nov/19 $$solveforx.$$ Answered by Rio Michael…

Question Number 8633 by Yozzias last updated on 19/Oct/16 $$\mathrm{Find}\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }\frac{{\mathrm{n}}^{\mathrm{p}}}{{\mathrm{x}}^{\mathrm{n}}}\mathrm{where}\mathrm{p}\in {\mathbb{Z}}^{+}.$$ Commented by prakash jain last updated on 19/Oct/16 $$\mathrm{Does}\:{x}\:\mathrm{cover}\:\mathrm{entire}\:\mathrm{range}\:\mathrm{of}\:\mathbb{R}?…