Infinite Geometric Series
 

Infinite Geometric Series problem 27


Given the series:




  • For what real values of x is the series convergent?


  • Calculate the value of for which the sum is .


  • For x = -1, what percentage of the sum of all members of this series is the sum of the first five terms? Round the result to 5 significant figures.


  • For x = -1, how many members are smaller than ?


 

material editor: Azeez Adesina