The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
The sum of the first 14 terms is calculated using:
[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]
So, we have:
[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]
Evaluate
[tex]S_{14}= -2730.5[/tex]
Hence, the sum of the series is -2730.5
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