Question

Use the recursive rule below to find the 7th term in the arithmetic sequence.a₁= -23, a = an+6n-1

Answer 1

Solution;

`a_n=a_(n-1)+6`
`\begin{gathered} a_2=a_1+6=-23+6=-17 \\ \end{gathered}`
`a_3=-17+6=-11`
`a_4=-11+6=-5`
`a_5=-5+6=1`
`a_6=1+6=7`
`a_7=7+6=11`

The answer is 11