Home
Class 12
MATHS
The first term of a geometric progressio...

The first term of a geometric progression whose second term is 2 and sum to infinity is 8 will be

A

6

B

3

C

4

D

1

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is

If the sum of the first two terms and the sum of the first four terms of a geometric progression with positive common ratio are 8 and 80 respectively then what is the 6th term ?

The first term of an A.P. is a, the second term is b and last term is c. Show that the sum of A.P. is : ((b+c-2a)(c+a))/(2(b-a)) .

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4th by 18.

Does there exist a geometric progression containing 27, 8 and 12 as three of its terms. If it exists, how many such progressions are possible ?

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the 2n terms to the sum of next 2n terms.

Verify that 10,-9, 8.1,..... is a geometric progression. Find the sum to infinity of the G.P.

Find the first six terms of the sequence whose first term is 1 and whose (n+1)th term is obtained by adding n to the nth term.

Find the sum to n terms of the series whose nth term is n^(2) + 2^(n) .