Home
Class 11
MATHS
If a, b, c are in A.P., b, c, d are in G...

If a, b, c are in A.P., b, c, d are in G.P. and `1/c ,1/d ,1/e`are in A.P. prove that a, c, e are in G.P.

Text Solution

Verified by Experts

The correct Answer is:
G.P.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 29|1 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 30|1 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 27|1 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

If a,b,c are in A.P and a,b,d are in G.P, prove that a,a-b,d-c are in G.P.

Knowledge Check

  • If a, b, c are in A.P., b, c, d are in G.P. and c, d, e are in H.P., then the numbers a, c, e are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none of these
  • If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none of these
  • if a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P then a,c,e are in

    A
    A.P
    B
    G.P
    C
    H.P
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    If a, b, c are in A.P. as well as in G.P., then

    If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

    If a,b,c are in A.P. as well as in G.P. then

    If a, b, c are in A.P., a, x, b are in G.P. and b, y, c are in G.P., then x^(2), b^(2), y^(2) are in

    If a, b, c are in A.P., a, x, b are in G.P. and b, y, c are in G.P., then x^(2), b^(2), y^(2) are in