Assuming the pattern continues, what is S12 for the series−8 − 15 − 22 − 29 − …? −565 −85 −510 −558
Notice that:
[tex]\begin{gathered} -8=-1-7\times1, \\ -15=-1-7\times2, \\ -22=-1-7\times3, \\ -29=-1-7\times4. \end{gathered}[/tex]Therefore, the nth term of the given sequence is given by the following rule:
[tex]S_n=-1-7\times n\text{.}[/tex]Then:
[tex]S_{12}=-1-7\times12=-1-84=-85.[/tex]Answer: Second option.