A particular sequence can be represented by $t(n) = 2(3)^n$.

1. What are $t(1)$, $t(2)$, and $t(3)$?

   Step (a):

   To find $t(0)$, substitute $0$ in for $n$ in the equation$t(n) = 2(3)^n$. So $t(0) = 2(3)^0$.

   Answer (a):

   $t(1) = 6$,
   $t(2) = 18$,
   $t(3) = 54$

2. Graph this sequence. What is the domain?

   Hint (b):

   

   Answer (b):

   Domain: non-negative integers

3. On the same set of axes, graph the function $f(x) = 2(3)^x$ .

   Answer (c):

   

4. How are the two graphs similar? How are they different?

   Hint (d):

   How do their shapes compare?
   Are they discrete or continuous?