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

a_{n+1} = (3/5)a_n with a_1 = 375 gives
a_1 = 375
a_2 = (3/5)·375 = 225
a_3 = (3/5)·225 = 135
a_4 = (3/5)·135 = 81

So the graph is the points (1,375), (2,225), (3,135), (4,81) — the first option.