Hello, Fibonacci!

Sum of the first terms: .1) A G.P is such that . . Find the first 3 terms

Divide [1] by [2]: .

. .

. . which simplifies to: .

. . Hence: .

But since two consecutive terms of the G.P. are positive, cannot be negative.

. . Therefore: .

Substitute into [2]: .

Therefore, the first three terms are: .