Home
Class 12
MATHS
If the 2nd ,5ht and 9th terms of a non-c...

If the 2nd ,5ht and 9th terms of a non-constant AP are in GP , then the common ratio of this GP is

A

`(8)/(5)`

B

`(4)/(3)`

C

1

D

`(7)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

The pth , qth and rth terms of an A.P. are in G.P. Prove that the common ratio of the G.P. is (q-r)/(p-q) or (p-q)/(q-r)

Knowledge Check

  • Sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100, then the common ratio of the G.P. is-

    A
    `3/5`
    B
    `2/5`
    C
    `5`
    D
    `1/5`

  • Three positive numbers from an increasing G.P. If the middle term in this G.P is double , the new numbers are in A.P then the common ratio of the G.P. is :

    A
    `2 -sqrt3`
    B
    `2 + sqrt3`
    C
    `sqrt2 + sqrt3`
    D
    `3 + sqrt2`

  • In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then the common ratio of this GP series is

    A
    `sqrt5`
    B
    `(sqrt5-1)/(2)`
    C
    `(sqrt5)/(2)`
    D
    `(sqrt5+1)/(2)`

    • Similar Questions

    Explore conceptually related problems

    If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

    Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

    Find the 12th term of a G.P. whose 8th term is 192, and the common ratio is 2.

    If the P th term of an AP is (3P - 5), then find the common difference and 15th term of this AP.

    Three positive numbers form an increasing G.P .If the middle term in this G.P is doubled , the new numbers are in A.P .Then the common ration of the G.P is -

    Home
    Profile