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If one geometric mean G and two airthmetic mean A1, A2 are inserted between two numbers, then (2A1 – A2) (2A2 – A1) is equal to _______

If one geometric mean G and two airthmetic mean A1, A2 are inserted between two numbers, then (2A1 – A2) (2A2 – A1) is equal to _______ Correct Answer G2

Let a and b be two numbers then, G = (ab)1/2, A1 = (2a+b)/3, A2 = (a+2b)/3, (2A1 – A2) = a, (2A2 – A1) = b, (2A1 – A2)(2A2 – A1) = G2.

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