Question

Consider the sequence below.

Answer 1

$\bf -351~~,~~\stackrel{-351+8}{-343}~~,~~\stackrel{-343+8}{-335}~~,~~\stackrel{-335+8}{-327}~~,~~\stackrel{-327+8}{-319}~~,...~\hfill \stackrel{\textit{common difference}}{d = 8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=-351\\ d = 8 \end{cases} \\\\\\ a_n=-351+(n-1)8\implies a_n= -351+8n-8\implies a_n=8n-359$