Home
Class 12
MATHS
The common ratio of a series in G.P. is ...

The common ratio of a series in G.P. is 3, the sum of the 1st and 3rd terms is equal to the sum of the squares of the 1st and 2nd terms, find the sum of n terms. If n = 6, show that the sum is 364.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)(3^(n-1))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Long Answer Type Questions)|35 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Multiple Choice Type Questions)|2 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite G.P series is 15 and the sum of the squares of these terms is 45, Find the G.P

In a G.P. the sum of infinite terms is 15, the sum of the squares of these terms is 45. Find the G.P.

If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

If the sum of an infinite G.P. series is equal to the sum of 5 times of its odd terms, then the common ratio will be

The sum of the 1st m terms of an AP is n and the sum of the 1st n terms of the same AP is m. Find the sum of the 1st (m + n) terms of the AP.

If in an arithmetic progression, the sum of n terms is equal to the sum of r terms then the sum of (n+r) terms is

Find the sum to n terms of the series whose n^th term is n(n+3).

If the sum of first n terms of a G.P is p and the sum of the first 2n terms is 3p,show that the sum of first 3n terms is7p.

The sum of first 21 terms of an A.P. is 28 and the sum of the 1st 28 terms is 21. Show that one term of the progression is zero and find the sum of the preceding terms.

The sum of 2n terms of a series in G.P. is 2R and the sum of the reciprocals of those terms is R , find the continued product of the terms.

Home
Profile