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If A is the arithmetic mean and G(1), G(...

If A is the arithmetic mean and `G_(1), G_(2)` be two geometric mean between any two numbers, then prove that `2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))`

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Knowledge Check

  • If A be one A.M and p, q be two G.M.'s between two numbers then 2A is equal to…..

    A
    `(p^(3) + q^(3))/(pq)`
    B
    `(p^(3)-q^(3))/(pq)`
    C
    `(p^(2) + q^(2))/(2)`
    D
    `(pq)/(2)`

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