Question

find the common ratio of an infinite G.P whose each teen is ten times the sum of all is succeding terms

Answer 1

let the first term of the GP be a and the common ratio be r .

therefore the series is 



therefore sum of the infinite terms is 

series of even terms is 

therefore sum of even terms is 

given: 





since r can not be equal to zero. therefore r = 1/2.

hope this helps you.

!