Answer
$a_n$={1.0000, 2.5000, 1.6667, 2.2500, 1.8000, 2.1667, 1.8571, 2.1250, 1.8889, 2.1000}
The sequence converges to 2
Work Step by Step
Given: $a_n=2+\frac{{(-1)}^{n}}{n}$
By substituting the values 1 to 10 for n
$a_n$={1.0000, 2.5000, 1.6667, 2.2500, 1.8000, 2.1667, 1.8571, 2.1250, 1.8889, 2.1000}
By inspection, the sequence converges to 2
