Answered

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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

Sagot :

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]

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