the notation, more or less indicates that, the first value in the sequence is 2, the next term's value, will be "current value, times -4 and plus 2"
thus [tex]\bf \begin{array}{ccllll}
a_n\ term&&value\\
\text{\textemdash\textemdash\textemdash}&&\text{\textemdash\textemdash\textemdash}\\
a_1&&2\\
a_2&-4a_1+2&-4(2)+2\implies -6\\
a_3&-4a_2+2&-4(-6)+2\implies 26\\
a_4&-4a_3+2&-4(26)+2\implies -102
\end{array}[/tex]
