Given sequence below, write and explicit arithmetic formula using the variable “n” to represent the sequence -4, -9, -14, -19

a_(n)= -4-5(n-1)

Step-by-step explanation:

a_{n}=a_{1}+(n-1)d

a_n=the nᵗʰ term in the sequence

a_1=the first term in the sequence

d=the common difference between terms

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.

c

step-by-step explanation: