Consider the sequence $10,2,\dots$

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

   Hint (a):

   What's the difference between the first two terms?

   More Help (a):

   Use the common difference to help generate the next four terms and the $0^{th}$ term. Where does the $0^{th}$ term become important? Since $2$ is the $2^{nd}$ term, you can check your equation with the point $(2,2)$.

2. Assuming that the sequence is geometric with $t(1)$ as the first term, write the next four terms of the sequence and then write an equation for $t(n)$.

   Hint (b):

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

3. Create a totally different sequence that begins $10,2,\dots$ For your sequence, write the next four terms and an equation for $t(n)$.