Question icon
Grade 12th passAlgebra

How to find sum of this type of equation:
1+(1+a)b+(1+a+a^2)b^2+....

Profile image of Mahak Garg
9 Years agoGrade 12th pass
Answers icon

2 Answers

Profile image of Jitender K Yadav
9 Years ago
If |a|>1, |b|>1; sum becomes infinite. Else if |a|
Profile image of Jitender K Yadav
9 Years ago
Hence the solution in the simplest form can be expressed as
  1. Infinite (if |a|>1, |b|>1)
  2. 1         (if a=0 and b=0)
  3. \tfrac{1}{(1-b)(1-ab)} (if |a|