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Writing and Using Explicit Rules for Geometric Sequences

Writing and Using Explicit Rules for Geometric Sequences 1.16 - Solution

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We are asked to find the eighth term of a geometric sequence. Given that and we can find the first term of the sequence using the equation for the term of the sequence.
Solve for
The first term of the sequence is then the equation for the term of the sequence becomes as follows. Now, we are ready to find the eighth term,
Simplify right-hand side
The eight term of the sequence is