Question

find a indicate term for the arithmetic sequence with first-term a and common difference d

Answer 1

For an arithmeticsequence whose first term is a_1 and the common difference is d, the nth term would be;

$a_n=a_1+(n-1)d$

Therefore, where the indicated term is the 50th term, we would have;

$\begin{gathered} a_1=9,d=2 \\ a_{50}=9+(50-1)2 \\ a_{50}=9+(49)2 \\ a_{50}=9+98 \\ a_{50}=107 \end{gathered}$