Home
Class 11
MATHS
The sum of first three terms of a G.P. ...

The sum of first three terms of a G.P. is `(13)/(12)`and their product is ` 1`. Find the common ratio and the terms.

Text Solution

Verified by Experts

Let the terms of the G.P. be `a/r`,a,ar.
It is given that
`a/r`+ a + ar = `13/12` and `a/r`× a × ar = `-1`
...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT|Exercise MISCELLANEOUS EXERCISE|32 Videos
  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.4|10 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos
  • SETS

    NCERT|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

The sum of first three terms of a G.P. is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P.is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P.is 13/12 and their product is -1. Find the G.P.

The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :

The sum of first three terms of a G.P. is (1)/(8) of the sum of the next three terms. Find the common ratio of G.P.

The first term of as G.P. is 3 and the sum to infinity is 12. Find the common ratio.

The sum of first 12 terms of a G.P. is five times the sum of the first 6 terms. Find the common ratio.

The sum of first 6 terms of a G.P. is nine times the sum of the first 3 terms. Find the common ratio.

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

Sum of three terms in a G.P.is 31 and product is 125. Find the number