Home
Class 10
MATHS
If m times the m^(t h) term of an A.P. i...

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

Text Solution

Verified by Experts

The `n^(th)` term of an `AP` `n^(th)` term of `AP`
` t_n = a + (n − 1)d ->(1)`
`m^(th)` term of `AP `
`t_m​ = a + (m − 1)d -> (2)`
According to question, ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

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

If m time the m^(th) term of an Arithmetic Progression is equal to n times its n^(th) term and mnen ,show that the (m+n)^(th) term of the AP is zero .

Knowledge Check

  • If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:

    A
    `-1`
    B
    0
    C
    mn
    D
    4

  • 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`

    • Similar Questions

    Explore conceptually related problems

    If 6 times the 6^(th) term of an A.P, is equal to 9 times the 9^(th) term, show that its 15^(th) term is zero.

    If 6 times the 6^(th) term of an A.P, is equal to 9 times the 9^(th) term, show that its 15^(th) term is zero.

    If m xx the mth term of an AP is equal to n xx its nth term,then show that (m+n) th term of an AP is zero.

    If seven times the seventh term of an A.P is equal to eleven times its eleventh term , show that its eighteenth term is zero .

    If the m^(th) term of an H.P. is n and the n^(th) term is m, show that its (mm)^(th) term is 1.

    In an A.P. If m times the m^(th) term is equal to n times the n^(th) term, then find (mn)^(th) term .

    Home
    Profile