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If the pth and qth terms of a GP are q a...

If the pth and qth terms of a GP are `q and p,` respectively, then `(p-q)`th terms is :

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If the p th and qth terms of a GP are q and p respectively, then show that its (p+ q) th term is ((q^(p))/(p^(q)))^((1)/(p-q))

If the pth and qth terms of an A.P. be a and b respectively, show that the sum of first (p+q) terms of the A.P. is (p+q)/(2)(a+b+(a-b)/(p-q)) .

Knowledge Check

  • If (m+n)^(th) term and (m-n)^(th) terms of a G.P. are p and q respectively. Then the m^(th) term is

    A
    `sqrt((p)/(q))`
    B
    `sqrt((q)/(p))`
    C
    `sqrt(pq)`
    D
    pq

  • If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

    A
    0
    B
    1
    C
    abc
    D
    pqr

  • If the pth, qth and rth terms of a G.P. are , l,m,n respectively , then l^(q-r)m^(r-p)n^(p-q) is :

    A
    0
    B
    1
    C
    pqr
    D
    lmn

    • Similar Questions

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    The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

    If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

    If the pth ,qth and rth terms of a G.P are a,b and c respectively show that (q-r)loga+(r-p)logb+(p-q)logc=0

    If (p+q)^(th) and (p-q)^(th) terms of a G.P.re m and n respectively,then write it pth term.

    If the pth, qth, rth terms of a GP are a, b and c respectively, then a^(q-r)b^(r-p)c^(p-q) is equal to

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