Home
Class 11
MATHS
Show that the sum of (m + n)^(th) and (...

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.

Answer

Step by step text solution for 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. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT TELUGU|Exercise EXERCISE 9.4|10 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • SETS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|22 Videos

Similar Questions

Explore conceptually related problems

Find the 8^(th) and n^(th) term of GP. 6,18,54,…

The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of the 6^(th) and 10^(th) terms is 44. find the first three terms of the AP.

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 8th term of an A.P. is 15, then the sum of 15 terms is

    A
    15
    B
    0
    C
    225
    D
    225/2

  • If the mth term of an A.P is n and nth term is m , then pth term =

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

    • Similar Questions

    Explore conceptually related problems

    If 10th term of an A.P is 13, then the sum of 19 terms =

    If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

    If mth terms of an A.P . Is n and nth term is m, then (m + n)th term is

    If the A.M. between p^(th) and q^(th) terms of an A.P be equal to A.M between r^(th) and s^(th) terms of A.P then

    If 10th term of an A.P is 15 and 15th term is 10, then 4th term is

    Home
    Profile