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32. Show that the sum of (m+n)^(th) and ...

32. Show that the sum of `(m+n)^(th)` and `(m-n)^(th)` terms of an A.P. is equal to twice the `m^(th)` term

Text Solution

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The correct Answer is:
`2t_(m)`
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Show that the sum of (m+n)^(th) and (m-n)^(th) term of an A.P.is equal to twice the m^(th) term.

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Knowledge Check

  • The sum of (p+q)^(th)" and "(p-q)^(th) terms of an AP is equal to

    A
    `(2p)^(th)`term
    B
    `(2q)^(th)`term
    C
    Twice the `p^(th)`term
    D
    Twice the `q^(th)`term

  • The sum of (p+q)^(th) and (p-q)^(th) terms of an AP equal to

    A
    A)`(2p)^(th)` term
    B
    B)`(2q)^(th)` term
    C
    C)Twice the `p^(th)` term
    D
    D)Twice the `q^(th)` term

  • The m^(th) term of an A.P. is n and n^(th) term is m its p^(th) term is

    A
    `m-n+p`
    B
    `n+p -m`
    C
    `m+n-p`
    D
    `m+n+p`

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