The sum of the first five terms is 11/2
How to determine the sum?
The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
[tex]S_n = a\frac{1 - r^n}{1 - r}[/tex]
This gives
[tex]S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}[/tex]
Evaluate
[tex]S_n = \frac{1}{2} * \frac{33)}{3}[/tex]
Evaluate
[tex]S_n =\frac{11}{2}[/tex]
Hence, the sum of the first five terms is 11/2
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