-3 , 1 , 5 , 9 , 13
find the 11th term of this sequence
show your working​

a₁₁ = 37

Step-by-step explanation:

There is a common difference between consecutive terms, that is

1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4 , then

a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37

answer: howdy

step-by-step explanation:

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.