Uncle Zachary decided to increase the amount he was saving for Angela by $\$5$ each month instead of three.

1. How much would he deposit on the month of her 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 this sequence.

   Answer (b):

   $t(n)=50+5(n-1)$ or $t(n)=5n+45$

3. How much money is in the account the month of her first birthday, just after he made his $12$^th deposit?

   Hint (c):

   Add the first $12$ terms of your sequence.