\( \text{G.P} \)

Algebra Level 3

Let \(A = 1+r^a + r^{2a} + r^{3a} + \cdots \), and
let \(B = 1+r^b + r^{2b} + r^{3b} + \cdots \).

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

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