The table displays the speed of a car s, in feet per second, t seconds after it starts coasting. Time, t (in seconds) Speed, s (ft/sec)
1 57
2 54.15
3 51.44
4 48.87
a) Explain why this sequence is geometric.

b) Write an explicit rule for this sequence using the values from the table.

c) Use the result from part b to write a recursive rule for this sequence.

d) What is the speed of the car when it begins to coast?