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Aug
25
comment If $a^{n}-1$ is divisible by $n$, then $a+1,a^2+2, \ldots a^n+n$ leave different remainders when divided by $n$
@Youknowme, By any chance, have you meant $$n|(a^n-1)?$$
Aug
25
answered Find the value of $\frac{ x_1^2}{1-x_1}+\frac{x_2^2}{1-x_2}+…+\frac{x_n^2}{1-x_n}.$
Aug
25
answered Finding coefficients of $x^n$ and $x^{n+r}$ in an expansion
Aug
24
comment How can i solve these?
@MarioG, Thanks for you observation. Please find the updated answer
Aug
24
revised How can i solve these?
added 124 characters in body
Aug
24
answered If $x^{x^4}=4$. Find $x^{x^2}+x^{x^8}$
Aug
24
answered How can i solve these?
Aug
24
answered Integer solutions of a quadratic equation with combined variables
Aug
24
answered solve non homogeneous recurrence relation with only '1' as root of its equation
Aug
24
answered Prove the trigonometric identity $\cos(x) + \sin(x)\tan(\frac{x}{2}) = 1$
Aug
24
answered If $\text{gcd}(a,561)=1$, then $a^{560}=1\mod 561$
Aug
24
comment Simplify $\tan3x/\tan x$. Answer given is $(2\sin 2x +1)/(2\sin 2x-1)$
@Prattusha, The answer supplied is incorrect. We just need to adapt correct method, the answer will follow
Aug
24
answered Simplify $\tan3x/\tan x$. Answer given is $(2\sin 2x +1)/(2\sin 2x-1)$
Aug
24
answered Trignometric Identities and Equations
Aug
24
answered Trignometric Identities and Equations
Aug
23
answered What will be the 100th term of the series:
Aug
23
comment Questions from an olympiad on number theory
The second is very interesting $$\sum\dfrac{F_r}{2^r}$$ where $F_r$ is the $r$ th Fibonacci number . We may use proofwiki.org/wiki/Euler-Binet_Formula
Aug
23
answered Infinite series of trigonometric ratios
Aug
23
comment Find the equation of the tangent to the parabola $ 4x^2=y$ which is parallel to the line $4x+y-3=0$
@N.F.Taussig, Thanks for your observation.
Aug
23
revised Find the equation of the tangent to the parabola $ 4x^2=y$ which is parallel to the line $4x+y-3=0$
added 56 characters in body