Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. 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.
<u />
<u>First term:</u>
<u>Second term:</u>
<em>Let's see the common ratio: </em>
<em />
<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>
<em></em>
<em />
<em>So, </em><em>the answer is 4</em>