Evaluate the geometric series below. Please show your work.

Answer:
-1310715
Step-by-step explanation:
By the formula of a geometric sequence, we work out:
[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]