Answer
a) $\{\frac{5}{2},\frac{9}{4},\frac{17}{8},\frac{33}{16}\}$
b) $2$
Work Step by Step
$a_n = 2+2^{-n}$
Part a)
$a_1 = 2+2^{-1} = \frac{5}{2}$
$a_2 = 2+2^{-2} = \frac{9}{4}$
$a_3 = 2+2^{-3} = \frac{17}{8}$
$a_4 = 2+2^{-4} = \frac{33}{16}$
Part b)
The values of the sequence seem to slope off when $a_n=2$
