Infinite Geometric Series
 

Infinite Geometric Series problem 25


Given the sequence .


  • Find the range of values of x for which the given sequence converges?


  • Calculate the value of x such that the sum of the terms is twice the first term.


  • Calculate the value of x for which the square of the first term is seven times the fifth term. Round the result to four decimal places.


  • For x = -1 obtain the sum of the first n terms of the given sequence?


  • What is the least number of terms that must be added so that the sum will differ from the sum to infinity by less than ?


 

material editor: Azeez Adesina