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

\[A(n) = 2 + 9(n - 1)\]

\[=2 + 9(n - 2+1)\]
\[=2 + 9(n - 2)+9\]
\[=A(n-1)+9\]

Answer 2

tnks