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Example 2

Write a linear function that corresponds to the following arithmetic sequence: 8, 1, –6, –13, …
  1. Find the common difference by subtracting two successive terms.
  2. Confirm that the difference is the same between all of the terms.
  3. Identify the first term .
  4. Write the explicit formula.
  5. Simplify the explicit formula.
  6. Write the formula in function notation.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information on their resources.