Home

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
For given geometric progression series 3,6,12,24,48 ,... find 10 th term and addition of first 10 th terms.

Solution:
Your problem `->` For given geometric progression series 3,6,12,24,48 ,... find 10 th term and addition of first 10 th terms.


Here `a = 3,`

`r = 6/3 = 2`

We know that, `a_n = a × r^(n-1)`

`a_10 = 3 × 2^(10 - 1)`

`= 3 × 512`

`= 1536`

We know that, `S_n = a * (r^n - 1)/(r - 1)`

`:. S_10 = 3 × (2^10 - 1)/(2 - 1)`

`=> S_10 = 3 × (1024 - 1)/1`

`=> S_10 = 3 × 1023/1`

`=> S_10 = 3069`

Hence, `10^(th)` term of the given series is `1536` and sum of first `10^(th)` term is `3069`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends
 
Copyright © 2018. All rights reserved. Terms, Privacy