Convergence and divergence of series

Convergence and divergence of series practice problems.

Problem

Which of the following correctly describes the behavior of the series given below?
start fraction, 1, divided by, 4, end fraction, plus, start fraction, 1, divided by, 8, end fraction, plus, start fraction, 1, divided by, 16, end fraction, plus, point, point, point, plus, start fraction, 1, divided by, 2, end fraction, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript, plus, point, point, point
Please choose from one of the following options.