Question

Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula?

Answer 1

Solution:

Given the explicit formula;

$a_n=5+(n-1)2$

The first term is 5 and its common difference is 2.

Thus, the recursive formula that represents the sequence is;

$\begin{gathered} a_1=5 \\ \\ a_n=a_{n-1}+2 \end{gathered}$

CORRECT OPTION: A