G.P \text{G.P}

Algebra Level 3

Let A=1+ra+r2a+r3a+A = 1+r^a + r^{2a} + r^{3a} + \cdots , and
let B=1+rb+r2b+r3b+B = 1+r^b + r^{2b} + r^{3b} + \cdots .

If r<1|r| < 1, which of the following is equal to ab \dfrac ab ?

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