S=a1/1-r

!

this is the formula for a converging infinite series. a1 is the first term and r is the common ratio

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

First term:

Second term:

Let's see the common ratio:  

Thus we have a = 3 and r = 1/4. Plugging into the formula of the infinite sum, we get:

So, the answer is 4