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What if Uncle Zachary (from problem 10‑1) had increased the amount he was saving for Angela by each month instead of ?

  1. How much would Uncle Zachary have deposited on Angela’s second birthday?

    Recall that Uncle Zachary puts in Angela's account the first month.
    In this case he will put in Angela's account the second month and the third month.

    The sequence is , which is linear. The equation should be of the form .

  2. Write a formula for the th term of the sequence for this situation.


  3. How much money would have been in the account on Angela’s first birthday, just after Uncle Zachary made his th deposit?

    Add the first terms of your sequence.