Question

How do you find the sum of the infinite geometric series 4-1+1/4-1/16+...?

Answer 1

Infinite Sum `=(a_1)/(1-r)`

Explanation:

For this problem ...

`a_1=4`
`r=-1/4`

Now, simply plug into the formula ...

Infinite Sum `=(a_1)/(1-r)=4/(1-(-1/4))=16/5=3.2`

hope that helped