Respuesta :
Answer:
The 85 term of the arithmetic sequence would be 983
Step-by-step explanation:
Use the formula: an=a1+(n−1)d
an=a1+d(n-1)
a85= -25+(85-1)12
a85= -25+1008
a85=983
[tex]\bf -25~~,~~\stackrel{-25-12}{-37}~~,~~\stackrel{-37-12}{-49}~~,~~...\qquad \qquad \qquad \stackrel{\textit{common difference}}{d = -12} \\\\[-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=-25\\ d= -12\\ n = 85 \end{cases}[/tex]
[tex]\bf a_{85}=-25+(85-1)(-12)\implies a_{85}=-25+(84)(-12) \\\\\\ a_{85}=-25+(-1008)\implies a_{85}=-25-1008\implies a_{85}=-1033[/tex]
