Example 1:Is the sequence 18, 11, 4, -3, … arithmetic? If so, state the recursive formula.

What is the 33rd term of the sequence?

t1 =

t2 =

t3 =

...

tn = → t33 =

In general, if the first term of a sequence is a and the common difference is d, then the nth term is given by the formula _______________.

Example 2:Determine the number of terms in the arithmetic sequence 9, 16, 23, 30, …, 100.

Example 3:The 7th term of an arithmetic sequence is 53 and the 11th term is 97. Determine a formula for the general term.

A sequence is arithmetic if the difference between any consecutive terms is the same. Each arithmetic sequence has a common difference.

Arithmetic Sequences