## College Algebra 7th Edition

$a_{n}=5n-7$
We are given: $-2, 3, 8, 13$, ... We see that the terms in the sequence go up by 5. Since the first term is $-2$, we must start by subtracting $7$: $a_1=5(1)-7$ $a_2=5(2)-7$ $a_3=5(3)-7$ $a_4=5(4)-7$ ... $a_{n}=5n-7$ Or: $a_{n}=-2+5(n-1)$