Question

In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, a7=16.


Based on this information, which equation can be used to find the nth
term in the sequence, an
?

(1 point)

an=−4n−12


an=−4n−6


an=4n−8


an=4n−12

Answer 1

Difference between terms is 4, so d = 4. Using a_n = a_3 + (n−3)d gives a_n = 0 + (n−3)·4 = 4n − 12.

Answer: an = 4n − 12.