3 years ago

What is the value of w?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

The Answer is-2.5 because first multiply the numbers are in parentheses

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2 years ago

Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

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The common ratio is

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The finite geometric sum is given by the formula,

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Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

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The correct answer is B

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W-4, I hope this helps !!!

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