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Let S e the sum, P the product, adn R th...

Let `S` e the sum, `P` the product, adn `R` the sum of reciprocals of `n` terms in a G.P. Prove that `P^2R^n=S^ndot`

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Let S e the sum,P the product,adn R the sum of reciprocals of n terms in a G.P.Prove that P^(2)R^(n)=S^(n).

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Knowledge Check

  • If S be the sum, P the product and R the sum of the reciprocals of n terms of a G.P., then ((S)/(R))^(n) =

    A
    P
    B
    `P^(2)`
    C
    `P^(3)`
    D
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  • Let S be the sum, P be the product and R be the sum of the reciprocals of 3 terms of a GP. Then, P^(2)R^(3) : S^(3) is equal to

    A
    `1:1`
    B
    `("common ratio")^(n):1`
    C
    `("first term")^(2) : ("common ratio")^(2)`
    D
    None of the above

  • If S.P and R are the sum, product and sum of the reciprocals of n terms of an increasing G.P respectively and S^(n) = R^(n).P^(k) , then k is equal to

    A
    1
    B
    2
    C
    3
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Let S be the sum, P be the product and R be the sum of the reciprocals of 3 terms of a G.P. then P^2R^3: S^3 is equal to (a)1:1 (b) (common ratio)^n :1 (c)(First term)^2(common ratio)^2 (d) None of these

    If S be the sum,p the product and R the sum of the reciprocals of n terms of a G.P.,then ((S)/(R))^(n) is equal to

    If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^(2) is equal to S/R b.R/S c.(R/S)^(n) d.(S/R)^(n)

    If sum of 3 terms of a G.P. is S product is P ,and sum of reciprocal of its terms is R, then P^(2)R^(3) equals to-

    If |r|<1, then the sum of infinite terms of G.P is

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