Home
Class 14
MATHS
The sum of an infinite G.P. is 16 and th...

The sum of an infinite G.P. is 16 and the sum of the squares of its terms is `153(3)/(5)` . Find the fourth term of the progression :

A

(5/3)

B

(5/32)

C

(3/16)

D

none of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite G.P. is 5 and the sum of the squares of these terms is 15. Find the G.P.

The sum of an infinite geometric series is 2 and the sum of the squares of its tems is (4)/(3) Find the G.P.

Knowledge Check

  • If the sum of an infinite G.P. is (7)/(2) and sum of the squares of its terms is (147)/(16) then the sum of the cubes of its terms is

    A
    `(315)/(19)`
    B
    `(700)/(39)`
    C
    `(985)/(13)`
    D
    `(1029)/(38)`

  • If the sum of an infinite G.P. be 3 and the sum of the squares of its term is also 3, then its first term and common ratio are

    A
    `3//2,1//2`
    B
    `1//2,3//2`
    C
    `1,1//2`
    D
    none of these

  • If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

    A
    `(105)/(13)`
    B
    `(108)/(13)`
    C
    `(729)/(8)`
    D
    `(128)/(13)`

    • Similar Questions

    Explore conceptually related problems

    The sum to infinity of a G.P. is 15 and the sum of squares of its terms is 45. Find the G.P

    The sum to infinity of a G.P. is 3 and the sum of squares of its terms is also 3. Find the G.P.

    If the sum of an infinite G.P and the sum of the squares of its terms are both equal to 5 , then the first term is

    If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9/2, the sum of the cubes of the terms is

    The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

    Home
    Profile