The sum of first three terms of a G.P. i...

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.

Text Solution

Verified by Experts

The correct Answer is:

`r=5/2 " or " 2/5; ` Terms are `2/5,1,5/2` or `5/2 ,1,2/5`

Topper's Solved these Questions

SEQUENCES AND SERIES
NCERT BANGLISH|Exercise EXERCISE 9.4|10 Videos
SEQUENCES AND SERIES
NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 9|32 Videos
SEQUENCES AND SERIES
NCERT BANGLISH|Exercise EXERCISE 9.2|18 Videos
RELATIONS AND FUNCTIONS
NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 2|12 Videos
SETS
NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos

Similar Questions

Explore conceptually related problems

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.

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

The sum of three numbers of GP is 39/10 and their product is 1. Find the numbers.

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

Let the sum of first three terms of G.P. with real terms be 13/12 and their product is -1 . If the absolute value of the sum of their infinite terms is S , then the value of 7S is ______.

The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.

The first terms of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

NCERT BANGLISH-SEQUENCES AND SERIES-EXERCISE 9.3

Find the sum to indicated number of terms in each of the geometric pro...
Text Solution
|
Evaluate sum(k=1)^11(2+3^k)
Text Solution
|
The sum of first three terms of a G.P. is 39/10 and their product is 1...
Text Solution
|
How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?
Text Solution
|
The sum of first three terms of a G.P. is 16 and the sum of the next t...
Text Solution
|
Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .
Text Solution
|
Find a G.P. for which sum of the first two terms is – 4 and the fifth ...
Text Solution
|
If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...
Text Solution
|
Find the sum to n terms of the sequence, 8, 88, 888, 8888… .
Text Solution
|
Find the sum of the products of the corresponding terms of the sequenc...
Text Solution
|
Show that the products of the corresponding terms of the sequences a, ...
Text Solution
|
Find four numbers forming a geometric progression in which the third t...
Text Solution
|
If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...
Text Solution
|
If the first and the n^("th") term of a G.P. are a and b, respectivel...
Text Solution
|
Show that the ratio of the sum of first n terms of a G.P. to the sum o...
Text Solution
|
If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...
Text Solution
|
Insert two numbers between 3 and 81 so that the resulting sequence is ...
Text Solution
|
Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...
Text Solution
|
The sum of two numbers is 6 times their geometric mean, show that numb...
Text Solution
|
If A and G be A.M. and G.M., respectively between two positive numbers...
Text Solution
|