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The first and second term of a G.P. are ...

The first and second term of a G.P. are `x^(-4) and x^(n)` respectively. If `x^(52)` is the `8^(th)` term, then find the value of n.

Text Solution

Verified by Experts

The correct Answer is:
n=4
Given
`r=(T_(2))/(T_(1))=(x^(n))/(x^(-4))=x^(n+4)`
and `T_(8)=ar^(7)=x^(-4)xx(x^(n+4))^(7)=x^(52)` (given)
`rArr7n+24=52`
or n=4
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Knowledge Check

  • The first and second terms of a G.P. are x^(-4) and x^(n) respectively. If x^(52) is the 8th term of the same progression, then n is equal to

    A
    13
    B
    4
    C
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    D
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    B
    3
    C
    4
    D
    13

  • n^(th) term of G.P. is-

    A
    `t_(n) = a^(r-1)`
    B
    `t_(n) = ar^(n-1)`
    C
    `t_(n) = an^(r-1)`
    D
    None of these

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