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}`