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Writing and Using Explicit Rules for Geometric Sequences

Writing and Using Explicit Rules for Geometric Sequences 1.14 - Solution

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We want to find the equation for the term and the value of the sixth term of the given geometric sequence. First we will find its explicit rule. Let's start by calculating the common ratio using the four terms given in the table, and

We will now use the common ratio and the first term to write the explicit rule. Finally, to calculate the value of we will substitute for in our rule.
Evaluate right-hand side