Question

Find the sum of the first 14 terms of the finite geometric series given as: 0.5+ (-1) +2+...

Answer 1

The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5

How to determine the sum of the series?

The series is given as:

0.5+ (-1) +2+...

The above series is a geometric series, with the following parameters:

• First term, a = 0.5
• Common ratio, r = -2
• Number of terms, n = 14

The sum of the first 14 terms is calculated using:

$S_n= a *(1 - r^n) \div (1 - r)$

So, we have:

$S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)$

Evaluate

$S_{14}= -2730.5$

Hence, the sum of the series is -2730.5

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brainly.com/question/6561461

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