Question

An arithmetic sequence is represented by the explicit formula A(n) = 2 + 9(n - 1). What is the recursive formula?

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

B. A(n) = A(n - 1) + 9

C. A(n) = A(n - 1) - 9

D. A(n) = A(n - 1) - 2

Answer 1

It should be B.
A(1) = 2
A(2) = 11
A(3) = 20
So, the common difference is 9, i.e., add 9 for each number in the sequence, so A(n) = A(n-1) + 9.

Answer 2

Thank you so much