Question

Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 375?

On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 225), (2, 135), (3, 81).

On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 75), (3, 15), (4, 3).

On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 75), (2, 15), (3, 3).

Answer 1

The sequence is geometric with ratio 3/5 and first term a1 = 375, so
a2 = 375·(3/5) = 225,
a3 = 225·(3/5) = 135,
a4 = 135·(3/5) = 81.
Thus the graph is the first option: (1, 375), (2, 225), (3, 135), (4, 81).