Evaluate the geometric series below. Please show your work.

asked Dec 13, 2022 200k views

23 votes

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5 votes

Answer:

-1310715

Explanation:

By the formula of a geometric sequence, we work out:

$\sum_(k=1)^(18) -5 \cdot 2^(k-1)\\= -5 \cdot \sum_(k=0)^(17) 2^(k)\\= -5 \cdot (2^(18)-1)/(2-1)\\= -1310715$

Cbeer answered Dec 17, 2022

by Cbeer

4.3k points

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