Question

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).
Which function can be used to model the graphed geometric sequence?

f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)

Answer 1

Compute the ratio: 1080/1296 = 900/1080 = 750/900 = 625/750 = 5/6.
So each term is 5/6 of the previous. The correct recurrence is

f(x + 1) = (5/6) f(x).

(Explicit closed form: f(x) = 1296*(5/6)^{x-1}.)