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------------------------------------------------ What is the recursive rule for the sequence 54, 57, 60, 63, 66?

A. [tex]f(1) = 54, f(n) = f(n-1) + 3[/tex]
B. [tex]f(1) = 54, f(n) = f(n-1) + 4[/tex]
C. [tex]f(1) = 54, f(n) = f(n-1) + 5[/tex]
D. [tex]f(1) = 54, f(n) = f(n-1) + 6[/tex]

Answer :

Final answer:

The recursive rule for the given sequence is f(n) = f(n-1) + 3.


Explanation:

The recursive rule for the sequence 54, 57, 60, 63, 66 is:



Of(1) = 54, f(n) = f(n-1) + 3

In this sequence, each term is obtained by adding 3 to the previous term. For example, 57 is obtained by adding 3 to 54, 60 is obtained by adding 3 to 57, and so on.

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