The term of an arithmetic sequence are shown below. Which recursive formula defines the sequence. F (1) = 6, f (4) = 12, f (7) = 18

Question

Mathematics

Shaniya Mckenzie

27 July, 00:03

The term of an arithmetic sequence are shown below. Which recursive formula defines the sequence. F (1) = 6, f (4) = 12, f (7) = 18

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Answers (1)

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Camille Schmidt · Answer 1

f (n) = f (n - 1) + 2.

Step-by-step explanation:

The general form is f (n) = f (n-1) + d n > = 2.

f (4) - f (1) = 12-6 = 6

f (7) - f (4) = 18 - 12 = 6

So the common difference d = 6 / 3 = 2.

The answer is f (n) = f (n - 1) + 2.