Answer:
a. F(x) = 1.2(2.5)^(x – 1)
Step-by-step explanation:
The sequence is geometric with first term 1.2 and common ratio 3/1.2 = 2.5. The explicit formula for such a sequence is ...
a[n] = a[1]·r^(n-1)
For a[1] = 1.2 and r = 2.5, and using x as the term number, the formula is ...
F(x) = 1.2·2.5^(x-1) . . . . . matches selection A
The formula that could be used for showing the sequence is option A.[tex]F(x) = 1.2(2.5)^{(x - 1)}[/tex]
The sequence should be geometric which means the first term 1.2 and the common ratio is [tex]3\div 1.2[/tex] = 2.5.
Now The explicit formula should be
[tex]a[n] = a[1].r^{(n-1)}[/tex]
Now
Here a[1] = 1.2
and r = 2.5,
So, the formula is
[tex]F(x) = 1.2\times 2.5^{(x-1)[/tex]
Learn more about the sequence here: https://brainly.com/question/21258074
