Monday 16 July 2018

Find the number of terms in the geometric series, given the first and the third term and the sum

In a geometric series, the first term is $12$, the third term is $92$, and the sum of all of the terms of the series is $62 813$. How many terms are in the series?



According to the answer sheet of the pre-calculus 11 book, the number terms in the series is $13$. Can anyone explain how does that happen?

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