If the first term of an infinite G.P. is...

If the first term of an infinite G.P. is 8 and its sum to infinity is `(32)/(3)` then find the common ratio.

Verified by Experts

The correct Answer is:

`r = 1/4`

NUMBERS AND SEQUENCES
PREMIERS PUBLISHERS|Exercise EXERCISE 2. 9|14 Videos
NUMBERS AND SEQUENCES
PREMIERS PUBLISHERS|Exercise EXERCISE 2. 10|15 Videos
NUMBERS AND SEQUENCES
PREMIERS PUBLISHERS|Exercise EXERCISE 2. 7|21 Videos
MENSURATION
PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|16 Videos
RELATIONS AND FUNCTION
PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|25 Videos

Similar Questions

Explore conceptually related problems

If the first term of an infinite G.P. is 8 and its sum to infinity (32)/5 then find the common ratio.

If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then the common ratio of the G.P. is

The sum of the first two terms of a GP of positive terms is 5/3 and the sum to infinity of the series is 3. the common ratio is

If the sum of n terms of a G.P. is 3(3^(n+1))/(4^(2n)) , then find the common ratio.

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

If the sum of n terms of a G.P. is 3-(3^(n+1))/(4^(2n)) , then find the common ratio.

The first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the sum of the series is

If the first term of a G.P. is 729 and its 7^(th) term is 64, then the sum of first seven terms is

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.