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−12


an=−4n−6


an=4n−8

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Answer 1

an = 4n − 12

Reason: The sequence has common difference 4. Use an = a1 + (n−1)·4. From a3 = 0: a1 + 2·4 = 0 ⇒ a1 = −8, so an = −8 + 4(n−1) = 4n − 12.