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The sum of the infinite geometric series is -288.
<h2>Given that</h2>A finite geometric series with n = 4, a₁ = -144, and r = ½.
<h3>We have to determine</h3>What is the sum of the infinite geometric series?
<h3>According to the question</h3>The sum of the infinite is determined by the following formula;
A finite geometric series with n = 4, a₁ = -144, and r = ½.
Substitute all the values in the formula;
Therefore,
The sum of the infinite geometric series is,
Hence, the sum of the infinite geometric series is -288.
To know more about Geometric Series click the link given below.