Answer
See below
Work Step by Step
Given: $a_1=0.5\\r=2$
Since the sequence is geometric, we obtain:
$$S_n=a_1 \times \frac{1-r^n}{1-r}\\S_5=0.5 \times\frac{1-2^5}{1-2}\\S_5=15.5$$
The sum is $\sum^5_{i=1} 0.5 (2)^{i-1}=15.5$
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