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.

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

Insert n geometric means between a and b.

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