Question

Which recursive sequence would produce the sequence 4, -9, 4.

Answer 1

Answer:

The correct option is B

Explanation:

Trying each of the given sequences, the one that produces

4, -9, 4 is:

$\begin{gathered} a_1=4 \\ a_n=-a_{n-1}-5 \end{gathered}$

For n = 2, we have:

$\begin{gathered} a_2=-a_1-5 \\ =-4-5=-9 \end{gathered}$

For n = 3, we have:

$\begin{gathered} a_3=-a_2-5 \\ =-(-9)-5 \\ =9-5=4 \end{gathered}$