3 years ago

Evaluate the geometric series below. Please show your work.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

-1310715

Step-by-step explanation:

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

$\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715$

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<img src="https://tex.z-dn.net/?f=3x%20%7B%20%7D%5E%7B2%7D%20%20%3D%20%20-%2054%20" id="TexFormula1" title="3x { }^{2} = - 54

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Answer:

No real solutions

Step-by-step explanation:

Divide both sides by 3

3x^3/3=-54/3

x^2=-18

Take square root

x=±√−18

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