Question

Help this is one thats to hard

Answer 1

We are given the following sequence:

$6,-20,58$

The formula that we can use to obtain the sequence is the following:

$a_n=-3a_{n-1}-2,a_1=6$

Because when we replace the given terms we get:

$\begin{gathered} a_2=-3(6)-2 \\ a_2=-18-2 \\ a_2=-20 \end{gathered}$

For the next term:

$\begin{gathered} a_3=-3(-20)-2 \\ a_3=60-2 \\ a_3=58 \end{gathered}$