Find the common difference of the arithmetic sequence 14,7,0

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7    & d = -7

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.

answer: 5

step-by-step explanation: