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If the G.M. of a and b is (a^(n)+b^(n))/...

If the G.M. of a and b is `(a^(n)+b^(n))/(a^(n-1)+b^(n-1))` then find the value of n.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)`
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Knowledge Check

  • If the arithmetic mean of a and b is (a^n+b^n)/(a^(n-1)+b^(n-1)) then the value of n is

    A
    `-1`
    B
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    C
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    None of these

  • In the arithmetic mean of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then n= ?

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    1
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    -1
    D
    None of these

  • If the geometric mean of a and b is (a^(n+1)+b^(n+1))/(a^(n)+b^(n)) then n = ?

    A
    `-(1)/(2)`
    B
    `(1)/(2)`
    C
    `1`
    D
    None of these

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