Which numerical pattern is linear? A.0, 1, 4, 9,
B.1, 2, 4, 8, ...
C.1, 3, 6, 10, ...
D.2, 4, 6, 8, ...

D.2, 4, 6, 8, ...

Step-by-step explanation:

This is linear because all successive terms in the numerical pattern have the same difference between them.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.