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3-52.

Consider the sequence

  1. Assuming that the sequence is arithmetic with as the first term, write the next four terms of the sequence and then write an equation for .

    What's the difference between the first two terms?

    Use the common difference to help generate the next four terms and the term. Where does the term become important? Since is the term, you can check your equation with the point .

  2. Assuming that the sequence is geometric with as the first term, write the next four terms of the sequence and then write an equation for .

    What number did you divide by to get from term 1 to term 2?

  3. Create a totally different sequence that begins For your sequence, write the next four terms and an equation for .