59-64 ■ Partial Sums of a Geometric Sequence Find the sum.
The partial sum of the geometric sequence.
The partial sum of the geometric sequence is given as,
The partial sum of a geometric sequence is given as,
Here, is the partial sum of term of the geometric sequence, is the number of terms, is the first term of the sequence and is the common ratio of the sequence.
Calculate the first term from the given partial sum of the geometric sequence.
Substitute for to calculate the first term.
Since the first term of the sequence is , the common ratio is and the number of terms are
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