Question

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

Answer 1

The terms all increase by 10, so the common difference is 10 and the first term, f(1), in the sequence is 14. Thus, the answer is C