Example 1

Find the constant ratio, write the explicit formula, and find the seventh term for the following geometric sequence: 3, 1.5, 0.75, 0.375, …
  1. Find the constant ratio by dividing two successive terms.
  2. Confirm that the ratio is the same between all of the terms.
  3. Identify the first term .
  4. Write the explicit formula.
  5. To find the seventh term, substitute 7 for .
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