Question

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?

Answer 1

There exist the same question that has the following choices.

A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

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

Answer 2

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

I got it right on the test.