Question

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.

a8=44 and d=6

Answer 1

\[a_{n}=6n-4\]

Explanation:

a8=a1+(8-1)*6

44=a1+42

a1=44-42=2

\[a_{n}=2+(n-1)*6\]

\[a_{n}=6 n-4\]