What if Uncle Zachary (from problem 10-1) had increased the amount he was saving for Angela by $$5$ each month instead of $$3$?

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

   Hint (a):

   Recall that Uncle Zachary puts $$50$ in Angela's account the first month.
   In this case he will put $$55$ in Angela's account the second month and $$60$ the third month.

   More Help (a):

   The sequence is $50, 55, 60, 65, ...$, which is linear. The equation should be of the form $an + b$.

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

   Answer (b):

   $t\left(n\right) = 50 +5\left(n − 1\right)$ or $t\left(n\right) = 5n + 45$

3. How much money would have been in the account on Angela’s first birthday, just after Uncle Zachary made his $12$^th deposit?

   Hint (c):

   Add the first $12$ terms of your sequence.