The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?

Which statement describes the recursive function used to generate the sequence?

The common difference is 1, so the function is f (n + 1) = f (n) + 1 where f (1) = 14.

The common difference is 4, so the function is f (n + 1) = f (n) + 4 where f (1) = 10.

The common difference is 10, so the function is f (n + 1) = f (n) + 10 where f (1) = 14.

The common difference is 14, so the function is f (n + 1) = f (n) + 14 where f (1) = 10.

Question

Isla Hendricks

Mathematics

2 March, 16:38

The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?

Which statement describes the recursive function used to generate the sequence?

The common difference is 1, so the function is f (n + 1) = f (n) + 1 where f (1) = 14.

The common difference is 4, so the function is f (n + 1) = f (n) + 4 where f (1) = 10.

The common difference is 10, so the function is f (n + 1) = f (n) + 10 where f (1) = 14.

The common difference is 14, so the function is f (n + 1) = f (n) + 14 where f (1) = 10.

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Answers (2)

Know the Answer?

Chase Johns · Answer 1

Option C is correct, i. e. The common difference is 10, so the function is f (n + 1) = f (n) + 10 where f (1) = 14.

Step-by-step explanation:

Given the sequence is 14, 24, 34, 44, 54, ...

It is an arithmetic sequence which means the difference of consecutive terms would be same.

First term = 14.

common difference = second term - first term = 24 - 14 = 10.

So we have common difference = 10, f (n+1) = f (n) + 10, f (1) = 14.

Hence, option C is correct, i. e. The common difference is 10, so the function is f (n + 1) = f (n) + 10 where f (1) = 14.

Kianna Owens · Answer 2

Answer: C. The common difference is 10, so the function is f (n + 1) = f (n) + 10 where f (1) = 14.