The number of terms in the geometric series is 9
<h3>How to determine the number of terms in the series?</h3>
The geometric series given as:
96 - 48 + 24 -....,-3/8 .
Calculate the common ratio (r) as follows
r = T2/T1
Substitute the known values in the above equation
r = -48/96
Evaluate
r = -0.5
The number of terms is then calculated as:
Tn = a * r^n-1
Let n = 9
So, we have:
T9 = a * r^9
Substitute the known values in the above equation
T9 = 96 * (-0.5)^8
Evaluate the product
T9 = -3/8
Hence, the number of terms in the geometric series is 9
Read more about geometric series at
brainly.com/question/24643676
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