The first term of an infinite G.P. is 1 ...

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

`5/2`

`7/2`

`3/2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SEQUENCES AND SERIES
NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos
RELATIONS AND FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
SETS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

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

The sum of an infinite G.P. is 18. if the first term is 6, the common ratio is

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 GP is 18. If the first term is 6, the common ratio 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.

The first term of an infinite geometric series is 21. The second term and the sum of the series are both positive integers. Then which of the following is not the possible value of the second term 12 b. 14 c. 18 d. none of these

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

In a GP of positive succeeding terms terms. The common ratio is

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

An infinite G.P has first 13 term as a and sum 5 , then

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS

If a, b and c are in geometric progression and the roots of the equati...
Text Solution
|
If a(1), a(2),………, a(50) are in G.P, then (a(1) - a(3) + a(5) - .........
Text Solution
|
The first term of an infinite G.P. is 1 and each term is twice the sum...
Text Solution
|
If a/(b + c), b/(c + a), c/(a + b) are in A.P., then
Text Solution
|
In an infinite geometric series the first term is a and common ratio i...
Text Solution
|
The sets S(1), S(2), S(3), …………. are given by S(1) = {2/1},S(2) = {3/2...
Text Solution
|
If H(1), H(2) are two harmonic means between two positive numbers a an...
Text Solution
|
If the sum of 12^(th) and 22^(nd) terms of an A.P is 100, then the sum...
Text Solution
|
The coefficient of x in the expansion of (1 + x)(1 + 2x)(1 + 3x) ... ...
Text Solution
|
If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...
Text Solution
|
The sum of the first n terms of the series 1/(sqrt(2) + sqrt(5)) + 1/(...
Text Solution
|
The H.M. of two numbers is 4. their A.M ia A and G.M. is G. If 2A + G^...
Text Solution
|
If a, b, c are in G.P. and x, y are the arithmetic mean of a, b and b,...
Text Solution
|
A student read common difference of are A.P. as -3 instead of 3 and ob...
Text Solution
|
If a(1), a(2) …… a(n) = n a(n - 1), for all positive integer n gt= 2, ...
Text Solution
|
If a(1), a(2), ……., a(n) are in A.P. with common differece d != 0, the...
Text Solution
|
Let a be a positive number such that the arithmetic mean of a and 2 e...
Text Solution
|
If the sum to first n terms of the A.P. 2, 4, 6, …. is 240, then the v...
Text Solution
|
The value of 1/(sqrt(10) - sqrt(9)) - 1/(sqrt(11) - sqrt(10)) + 1/(sqr...
Text Solution
|
An A.P. consists of 23 terms. If the sum of the three terms Is the mid...
Text Solution
|