Answer
${a_n} =${0.5000, 1.2500, 0.8750, 1.0625, 0.9688, 1.0156, 0.9922, 1.0039, 0.9980, 1.0010}
It converges to 1
Work Step by Step
Given: $a_n =1+{(-\frac{1}{2})}^{n} $
By substituting values from 1 to 10 for n in the given equation.
${a_n} =${0.5000, 1.2500, 0.8750, 1.0625, 0.9688, 1.0156, 0.9922, 1.0039, 0.9980, 1.0010}
It appears that this does converge.
It converges to 1
