Answer :
Answer:[tex]f(n)=7(4)^{n-1}[/tex]Explanations:
The given sequence is:
7, 28, 112, 448...........
From the sequence above:
The first value, a = 7
The common ratio, r = 28/7 = 112/28 = 448/112
r = 4
Since there is a common ratio of r = 4, the sequence is a geometric sequence that has the formula:
[tex]\begin{gathered} f(n)=ar^{n-1} \\ f(n)=7(4)^{n-1} \end{gathered}[/tex]