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Algebra Level pending

If \[ \dfrac{a}{b} , \dfrac{a+n}{b+n} , \dfrac{a+2n}{b+2n}\] are in G.P, A.P and H.P., then what is the value of \(a+b ?\)

\(n \) is positive integer.

G.P represents geometric progression,

A.P represents arithmetic progression,

H.P represents harmonic progression .

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