Use the explicit formula an=a1 (n-1) d to find the 500th term of the sequence below.

24,31,38,45,52, ...

First off ... the right formula is an=a₁ + (n-1) d

an=nth term=500th term

a₁=first term=24

n=common difference=31-24=7

n=500

an=24 + (500-1) 7

=24 + (499) 7

=24 + 3493

=3517

The 500th term is 3517