Question

Which of the following best defines the sequence shown? 7, 28, 112, 448...f(n) = 7 × 4(n-1) f(n) = 7(4)^n-1 f(n) = 7(4)^n f(n) = 7 × 4

Answer 1

Answer:
`f(n)=7(4)^(n-1)`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:

`\begin{gathered} f(n)=ar^(n-1) \\ f(n)=7(4)^(n-1) \end{gathered}`