SOLUTION: The sum of an infinite geometric series is 108, while the sum of the first 3 terms is 112. Determine the first term of this series.

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Question 1186218: The sum of an infinite geometric series is 108, while the sum of the first 3 terms is 112. Determine the first term of this series.

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Let the first term be a and the common ratio be r.

(1) The infinite sum is




The sum of the first three terms is











ANSWER: The first term is a = 144.

CHECK:

infinite sum:

sum of first three terms:


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