Question

Which recursive sequenge would produce the sequence 6, -26, 134, ...?

Answer 1

Let us consider the reccurssive relation

$\begin{gathered} a_1=6 \\ a_n=-5a_{n-1}+4 \end{gathered}$

Now, if we put n=2,3,...

$\begin{gathered} a_2=-30+4 \\ =-26 \\ a_3=130+4 \\ =134 \end{gathered}$

Hence, the correct option is (D).