Home
Class 11
MATHS
The sum of an infinite geometric series ...

The sum of an infinite geometric series is 6. If its first terms is 2, find its common ratio.

Text Solution

Verified by Experts

The correct Answer is:
`2/3`

`a/(1-r)=6 rArr 1/(1-r)=6rArr 1-r=1/3 rArr r=(1-1/3)=2/3`.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12H (Very Short Answer Type Questions)|13 Videos
  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12F|9 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS|21 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 19|6 Videos

Similar Questions

Explore conceptually related problems

Let s_k, k=1,2,3,…,100 denote the sum of the infinite geometric series whose first term is (k-1)/|___k and the common ratio is 1/k . Then, the value of is

The sum of an infinite geometric series is 162 and the sum of its first n terms is 160. If the inverse of its common ratio is an integer,then which of the following is not a possible first term? 108 b.144 c.160 d.none of these

Let G Let G be the sum of infinite geometric series whose first term is sin theta and common ratio is cos theta, while G' be the sum of a different infinite geometric series whose first term cos theta and common ratio is sin theta. Find the number of solutions of the equation,G=G' in [0,2 pi] is

Let S_(k) , be the sum of an infinite geometric series whose first term is kand common ratio is (k)/(k+1)(kgt0) . Then the value of sum_(k=1)^(oo)(-1)^(k)/(S_(k)) is equal to

The sum of an infinite geometric series is 6 and the sum of its first two terms is (9)/(2); find its common ratio.

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is (27)/(19) . Then, the common ratio of this series is

The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the series