The sum of an infinite G.P. is 57 and th...

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 `1//2` b. `2//3` c. `1//6` d. none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

FUNCTIONS
RD SHARMA ENGLISH|Exercise All Questions|200 Videos
GRAPHS OF TRIGONOMETRIC FUNCTIONS
RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 , find the G.P.

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. 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 infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

Sum of an infinitely manu terms of a G.P. is 3 times the sum of even terms. The common ratio of the G.P. is

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

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions

If b=a+a^2+a^3+ dotoo prove that a=b/(1+bdot)
Text Solution
|
The first term of G.P. is 2 and the sum to infinity is 6. Find the com...
Text Solution
|
The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...
Text Solution
|
Use geometric series to express 0. 555... = bar0.5 as a rational numb...
Text Solution
|
The inventor of the chess board suggested a reward of one grain of whe...
Text Solution
|
The sum of an infinite geometric series is 15 and the sum of the sq...
Text Solution
|
Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3...
Text Solution
|
Find the sum of the following series to infinity: 1+2//5+3//5^2\ +2//5...
Text Solution
|
Find the sum of the following series to infinity: 1/3+1/(5^2)+1/(3^3)+...
Text Solution
|
Find the sum of the following series to infinity: 8+4sqrt(2)+4+ddotoo
Text Solution
|
Find the sum of the following series to infinity: 10-9+8. 1-7. 29+oo
Text Solution
|
Find the value of 9^(1/3). 9^(1/9). 9^(1/27)...up to oo.
Text Solution
|
Prove that: 2^(1/4).4^(1/8), 8^(1/16). 16^(1/32)......... oo=2.
Text Solution
|
Find the sum off the terms of an infinite decreasing G.P. in which all...
Text Solution
|
(b). Express the recurring decimal 0.125125125 ... as a rational numbe...
Text Solution
|
Find the rational numbers having the following decimal expansion:\ 0. ...
Text Solution
|
Find the rational numbers having the following decimal expansion: 3. 5...
Text Solution
|
Find the rational numbers having the following decimal expansion: \ 0....
Text Solution
|
Find an infinite G.P. whose first term is 1 and each term is the sum o...
Text Solution
|
Show that in an infinite G.P. with common ratio r(|r|<1) , each term b...
Text Solution
|