The sum of the first two term of a g.p is x and the sum is of the last two terms is y. If there are n terms in all. Find the common ratio

Answer 1

a + ar = x
ar^(n-2) + ar^(n-1) = y

a(1+r) = x
ar^(n-2) (1+r) = y

xr^(n-2) = y
r^(n-2) = y/x
r = (y/x)^(1/(n-2))