(a(1) = 20
(a(n) = a(n - 1) - 17
Find the 3rd term in the sequence.

a3 = -14

Step-by-step explanation:

a(1) = 20

a(n) = a(n - 1) - 17

a(2) = a(2-1) - 17

a(2) = a(1) -17

        =20-17 = 3

a(3) = a(3-1) - 17

      = a(2) -17

         3-17

        -14

The 3rd term is -14

Step-by-step explanation:

This is a recursive formula. It tells us that the first term is 20 and that the common difference is -17.

a(1) = 20

a(2) = a(1) - 17 = 3

a(3) = a(2) - 17 = -14

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.

2425

step-by-step explanation: