you should simply follow the recurrence given:
\(\displaystyle a_0=1\)
\(\displaystyle a_1=a_0+\frac{1}{2^0}=1+\frac{1}{2^0}=2\)
\(\displaystyle a_2=a_1+\frac{1}{2^1}=2+\frac{1}{2^1}=2.5\)
and so on...

I think what is meant is the first six terms starting form \(\displaystyle a_0\) since the sequence is defined by \(\displaystyle a_0\) as the first term. Hence you should provide \(\displaystyle a_0\).......\(\displaystyle a_5\)