Answer:
The function f(x) is a geometric sequence
Step-by-step explanation:
If we let the first value of this function be denoted by y, then the second value will grow by;
12% of y
= (12/100)*y = 0.12y
The second value will thus be;
y + 0.12y = 1.12y
The third value will grow by;
12% of 1.12y
= (12/100)*1.12y = 0.12(1.12y)
The third value will thus be;
1.12y + 0.12(1.12y)
= 1.12y(1 + 0.12)
= 1.12y * 1.12 = [tex]1.12^{2}y[/tex]
The function f(x) will thus have the sequence;
y, 1.12y, [tex]1.12^{2}y[/tex], ans so on. This is clearly a geometric sequence since we have a common ratio of 1.12.
