Question

Write a recursive sequence that represents the sequence defined by the following explicit formula: an=- 5x + 3(n - 1)

Answer 1

explicit formula:

$a_n=-5x+3\mleft(n-1\mright)​$

First a1

$\begin{gathered} a_1=-5x+3(1-1) \\ a_1=-5x \end{gathered}$

Now, for an

$a_n=a_{n-1}+3$