Sequences & Linear Graphs

This chapter connects patterns of numbers to the straight lines that represent them.

Arithmetic sequences

A sequence with a constant difference $d$ has nth term $a + (n - 1)d$, or more simply "$d\,n + (\text{first term} - d)$". For $5, 8, 11, 14, \dots$ the difference is $3$, so the nth term is $3n + 2$.