Home
Class 11
MATHS
Find the sum to infinity of the followi...

Find the sum to infinity of the following Geometric Progression: `5,(20)/7\ ,\ (80)/(49)\ ,...`

Text Solution

AI Generated Solution

To find the sum to infinity of the given geometric progression (GP) \(5, \frac{20}{7}, \frac{80}{49}, \ldots\), we will follow these steps: ### Step 1: Identify the first term (A) The first term of the GP is given as: \[ A = 5 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.4|10 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 2.3|5 Videos
  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

Find the sum to infinity of the following Geometric Progression: 1,1/3,1/9,...

Find the sum to infinity of the following Geometric Progression: 6, 1. 2, 0. 24, ...

Find the sum to infinity of the following Geometric Progression: (-3)/4,3/(16),(-3)/(64),...

Find the sum to infinity of the following geometric progression: 3,-1, 1/3, - 1/9, ……..

Find the sum to infinity of the following geometric progression: 1/5+1/7+1/5^2+1/7^2+…..

Find the sum of the following geometric progression: 2,6,18… to 7 terms

Find the sum of the following geometric progression: 1,3,9,27,… to 8 terms.

Find the sum of the following geometric progression: 4,2,1,1//2, \ to\ 10\ terms.

Find the sum of the following geometric progression: 4,8,16,32.... to 8 terms

Find the sum of indicated terms of each of the following geometric progressions : (i) 2, 4, 8, 16 ,…, 20 terms (ii) 1 , (-2)/(3) , (4)/(9) , (-8)/(27) ,…, 10 terms