5500 is the oblivious annswer
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
<h3>How to determine the sum of the series?</h3>
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)](https://tex.z-dn.net/?f=S_n%3D%20a%20%2A%281%20-%20r%5En%29%20%5Cdiv%20%281%20-%20r%29)
So, we have:
![S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)](https://tex.z-dn.net/?f=S_%7B14%7D%3D%200.5%20%2A%281%20-%20%28-2%29%5E%7B14%7D%29%20%5Cdiv%20%281%20%2B%202%29)
Evaluate
![S_{14}= -2730.5](https://tex.z-dn.net/?f=S_%7B14%7D%3D%20-2730.5)
Hence, the sum of the series is -2730.5
Read more about series at:
brainly.com/question/6561461
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So 26 27 28 29 30 31 32 right I think that's what your asking because whole numbers have no decimals
The answer is 150in squared