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If a ,b ,c are in G.P. prove that (a^n+b...

If `a ,b ,c` are in G.P. prove that `(a^n+b^n),(b^n+c^n),(c^n+d^n)` are in G.P.

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If a,b,c,d are in G.P.prove that (a^(n)+b^(n)),(b^(n)+c^(n)),(c^(n)+d^(n)) are in G.P.

If a,b,c,d are in G.P.prove that (a^(n)+b^(n)),(b^(n)+c^(n)),(c^(n)+a^(n)) are in G.P.

Knowledge Check

  • If a,b,c and d are in GP, then a^n+b^n, b^n+c^n, c^n+d^n are in

    A
    AP
    B
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    C
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    D
    None of these
  • If a, ,b c, are in G.P., then log_(a) n, log_(b) n, log_(c) n are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    None of these
  • If a,b,c are in G.P., then log_(a)n,log_(b)n,log_(c)n are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    None
  • Similar Questions

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    If a,b,c are in G.P.,then prove that log a^(n),log b^(n),log c^(n)quad are in A.P.

    If a,b,c,d are in G.P.,prove that a+b,b+c,c+d are also in G.P.

    If a,b,c are in A.P and a,b,d are in G.P, prove that a,a-b,d-c are in G.P.

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