Question

Find the 133rd term in the sequence: -7, -2, 3, 8

Answer 1

There is a common difference between terms of 5, which means the sequence is given recursively by


`\begin{cases}a_1=-7\\a_n=a_(n-1)+5&\text{for }n>1\end{cases}`

and explicitly by


`a_n=-7+5(n-1)=5n-12`

This means the 133rd term in the sequence is
`a_(133)=5(133)-12=653`