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

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.

Answer

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The ratio of 6^(th)and8^(th) term of an A.P is 7:9. Find the ratio of 9^(th) term to 13^(th) term.

If 6 times of 6^(th) term of an A.P is equal to 7 times the 7^(th) term , then the 13^(th) term of the A.P. is ………… .

Knowledge Check

  • If 6 times of 6^(th) term of an A.P is equal to 7 times the 7^(th) term ,then the 13^(th) term of the A.P. is

    A
    0
    B
    6
    C
    7
    D
    13
  • If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p then the r^(th) term is

    A
    `q - p + r`
    B
    `p - q + r`
    C
    `p + q + r`
    D
    `p + q - r`
  • If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is

    A
    `0`
    B
    `6`
    C
    `7`
    D
    `13`
  • Similar Questions

    Explore conceptually related problems

    If p^(th) term of an AP is q and q^(th) term is p, find (p+q)^(th) term.

    If m times the m^(th) term of an A.P. is equal to n times its n^(th) term, then show that the (m + n)th term of the A.P. is zero.

    The ratio of the sum of m and n terms of an A.P. is m^(2):n^(2) . Show that the ratio of m^(th) and n^(th) term is 2m - 1 : 2n - 1 .

    If the sum of 12^(th) and 22^(nd) terms of an A.P is 100, then the sum of the first 33 terms of the A.P is

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