Let a and b be positive real numbers. If a, A₁, A2, b are in arithmetic progression, a, G₁, G₂, b are in geometric progression and a, H₁, H₂, b are in harmonic progression, A+ A₂ (2a + b)(a + 2b) G₁ G₂ H₂H₂ H₁ + H₂2 9ab show that = =

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