Home
Class 11
MATHS
If n geometric means are inserted betwee...

If n geometric means are inserted between two quantities ; then the product of n geometric means is the nth power of the single geometric mean between two quantities.

Answer

Step by step text solution for If n geometric means are inserted between two quantities ; then the product of n geometric means is the nth power of the single geometric mean between two quantities. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Geometric mean between 1/9 and 729 is

Insert n geometric means between a and b.

Knowledge Check

  • If n arithmetic means are inserted between two quantities a and b, then their sum is equal to:

    A
    n(a+b)
    B
    n/2 (a+b)
    C
    2n(a+b)
    D
    n/2 (a-b)

  • If n arithmetic means are inserted between two quantities a and b , then their sum is equal to :

    A
    `n(a+b)`
    B
    `n/2 (a+b)`
    C
    `2n(a+b)`
    D
    `n/2 (a-b)`

  • Find 3 geometric means between 10 and 160.

    A
    20, 40, 80
    B
    20, 60, 100
    C
    30, 60, 90
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Insert 2 geometric means between 3 and 24

    Insert 3 geometric means between 3 and 48.

    Insert 5geometric means between 576 and 9.

    One of the 5 geometric means between (1)/(3) and 243 is

    9.Show that the product of n geometric means between a and b is equal to the nth power of the single GM between a and b.

    Home
    Profile