If the sum of first two terms of an infi...

If the sum of first two terms of an infinite G.P is 1 and every term is twice the sum of all the successive terms then its first term is

`1//3`

`2//3`

`3//4`

`1//4`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SEQUENCES AND SERIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos
SEQUENCES AND SERIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
QUADRATIC EXPRESSIONS AND EQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
SETS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The first term of an infinite G.P. is 1 and every term is equals to the sum of the successive terms, then its fourth term will be

If 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

The sum of first two terms of an infinite G.P. is 5 and each term is three times the sum of the succeeding terms. Find the G.P.

The first term of an infinite G.P. is 1 any term is equal to the sum of all the succeeding terms. Find the series.

The sum of first two terms of an infinite geometric series is 15 and each term is equal to the sum of all the terms following it, find the series.

The sum of the first three terms of an increasing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

In an infinite geometric progression , the sum of first two terms is 6 and every term is four times the sum of all the terms that follow it . Find (i) the geometric progression and (ii) its sum of infinity .

In an infinite geometric progression, the sum of first two terms is 6 and every terms is four times the sum of all the terms that it . Find : (i) the geometric progression and (ii) its sum to infinity .

If the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20^(th) term.

Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise

The sum of three numbers in G.P. is 14. If one is added to the first ...
Text Solution
|
about to only mathematics
Text Solution
|
If the sum of first two terms of an infinite G.P is 1 and every term i...
Text Solution
|
If x,y,z are in G.P and a^x=b^y=c^z,then
Text Solution
|
If the sum of an infinite G.P. be 3 and the sum of the squares of its ...
Text Solution
|
If a,b,c,d are in GP and a^x=b^y=c^z=d^u, then x ,y,z,u are in
Text Solution
|
If a,b,c are in HP, then (a)/(b+c),(b)/(c+a),(c )/(a+b) are in
Text Solution
|
The sum of the first n terms of the series 1^2+2xx2^2+3^2+2xx 4^2+5^2+...
Text Solution
|
If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. ...
Text Solution
|
If x=2+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove ...
Text Solution
|
a ,b ,c are positive real numbers forming a G.P. ILf a x^2+2b x+c=0a n...
Text Solution
|
If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...
Text Solution
|
Find the sum of integers from 1 to 100 that are divisible by 2 or 5...
Text Solution
|
Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3...
Text Solution
|
The geometric mean between -9 and -16 is 12 b. -12 c. -13 d. none of t...
Text Solution
|
The sum of n terms of an A.P. is 3n^(2)+5. The number of term which eq...
Text Solution
|
If the pth, qth, and rth terms of an A.P. are in G.P., then the common...
Text Solution
|
If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...
Text Solution
|
If S denotes the sum to infinity and Sn the sum of n terms of the seri...
Text Solution
|
If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...
Text Solution
|