Answer
8/3
Work Step by Step
The values in the sequence are getting smaller and smaller in a geometric sequence. When we divide consecutive terms, we see we have a common ratio of 1/4.
We can use the formula $S_{y}=a/(1-r)$, where a is the first term and r is the ratio between terms.
Thus:
$S_{y}=2/(1-1/4)=2/(3/4)=8/3$
