Given the sequence $2, 10, 50, 250, …$ complete parts (a) through (c) below.

1. What kind of sequence is it?

   Hint (a):

   How do you get from one term to the next?

2. Describe the shape of the graph.

   Answer (b):

   The shape of the graph is curved.

3. Give an explicit equation for the sequence.

   Hint (c):

   What is t(0)? What is the multiplier?

   Answer (c):

   $t(n)=\frac{2}{5}(5)^{n}$

   Make sure you know why this is the answer.