Which of these tables represent a nonlinear function?

Answer:
(3)
Step-by-step explanation:
Analise the slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.
(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.
(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2 ⇒ table represents a nonlinear function.