Question

How do you find the sum of the infinite geometric series `1.1(0.5)^(n - 1)`?

Answer 1

Sum of the infinite geometric series is `2.2`

Explanation:

This is a geometric series whose first term `a` is `1.1`

and ratio `r` of a term to its preceding term is `0.5`

As `r<1`, the series is convergent and sum is

`a/(1-r)=1.1/(1-0.5)=1.1/0.5=1.1xx2=2.2`