College

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?

A. The common difference is 1, so the function is [tex]f(n + 1) = f(n) + 1[/tex] where [tex]f(1) = 14[/tex].

B. The common difference is 4, so the function is [tex]f(n + 1) = f(n) + 4[/tex] where [tex]f(1) = 10[/tex].

C. The common difference is 10, so the function is [tex]f(n + 1) = f(n) + 10[/tex] where [tex]f(1) = 14[/tex].

D. The common difference is 14, so the function is [tex]f(n + 1) = f(n) + 14[/tex] where [tex]f(1) = 10[/tex].