Answer
Just substitute $d_m$ by the index, starting from $0$, because the sequence is defined for $m\geq1$, substitute the values and calculate.
Work Step by Step
$m \geq 0$
$\begin{split}
d_m & = 1 + (\frac{1}{2})^m = 1 + \frac{1}{2^m}\\
& \\
d_0 & = 1 + (\frac{1}{2})^0 = 1 + \frac{1}{2^0} = 1 + \frac{1}{1} = 1 + 1 = 2 \\
& \\
d_1 & = 1 + (\frac{1}{2})^1 = 1 + \frac{1}{2^1} = 1 + \frac{1}{2} = \frac{3}{2} \\
& \\
d_2 & = 1 + (\frac{1}{2})^2 = 1 + \frac{1}{2^2} = 1 + \frac{1}{4} = \frac{5}{4} \\
& \\
d_3 & = 1 + (\frac{1}{2})^3 = 1 + \frac{1}{2^3} = 1 + \frac{1}{8} = \frac{9}{8} \\
& \\
\end{split}$
