What is the sum of this series upto infinite terms` -8,-4,-2,-1,-(1)/(2),"…"`

Explanation

To find the sum of the series up to infinite terms: -8, -4, -2, -1, -1/2, ..., we can follow these steps:

### Step 1: Identify the Series Type
First, we need to determine if the series is a geometric progression (GP). A GP has a constant ratio between consecutive terms.

### Step 2: Find the Common Ratio
Let's find the common ratio \( r \) by dividing the second term by the first term:
\[
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