Write the expression as either the sine, cosine, or tangent of a single angle.
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The series is a convergence series and the sum of the series is -8/3
<h3>The type of the series</h3>The series is given as:
The above series has the following properties:
- First term; a = -4
- Common ratio, r = -1/2
Start by calculating the absolute value of the common ratio
Absolute value = |-1/2|
This gives
Absolute value = 1/2
The above value is less than 1.
It means that the series converges.
<h3>The sum of the series</h3>This is calculated using:
So, we have:
Evaluate the sum
Evaluate the quotient
Hence, the sum of the series is -8/3
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