(a+1/a)^2+(a^2+1/a^2)^2+......+(a^n+1/a^n)^2=A?

Question

give aformula for finding A.

Answer 1

(a^2 + a^4 + a^6 + ......+a^2n) + (1/a^2 + 1/a^4 + 1/a^6+......+1/a^2n) + 2n

Now use the GP formula.

Answer 2

Are you looking for a closed form for the series? Or are you trying to solve for a? In the latter case, you need to know what this expression equals.