Answer
$\frac{17}{12}$
Work Step by Step
1. The initial value is $a=2$;
2. execute $i=1$ and $a=\frac{2}{2}+\frac{1}{2}=\frac{3}{2}$
3. execute $i=2$ and $a=\frac{3/2}{2}+\frac{1}{3/2}=\frac{3}{4}+\frac{2}{3}=\frac{17}{12}$
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