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 $\displaystyle a_0$.......$\displaystyle a_5$