Find the value of n so that `(a^(n+1)+ b^(n+1))/(a^n+b^n)` may be the geometric mean between a and b.

Find n such that (a^n+b^n)/(a^(n-1)+b^(n-1)) may be the geometric mean between two quantities a and b.

Find the value of n , if ((n - 1)!)/(n!) = 1/9

Find the value of n , if (2n - 1)/(n - 2) = 3

Find the value of (3^n × 3^(2n + 1))/(3^(2n) × 3^(n - 1))

Find n, so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n))(a ne b ) be HM beween a and b.

The value of lim_(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is

Find the derivative of (ax + b)^n

Find the value of : m^3-1/n^3 , if m-1/n=13/2 and m/n=7/2 .

Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touches the straight line x/a+y/b=2 at the point (a , b)dot

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of n is