Warm Up Find the sum of the arithmetic sequence. 1. -5, 3, 11… n = 50 2. 3, 6, 9, …, 81 3. Determine the seating capacity of an auditorium with 40 rows.

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Presentation transcript:

Warm Up Find the sum of the arithmetic sequence. 1. -5, 3, 11… n = 50 2. 3, 6, 9, …, 81 3. Determine the seating capacity of an auditorium with 40 rows of seats if there are 27 seats in the first row, 31 seats in the second row, 35 seats in the third row, and so on.

Homework Questions?

Evaluating Exponential Expressions Solving Exponential Equations (same base) Graphs of Exponential Functions Geometric Sequences

Reminder… Examples: 251/2 = 2162/3 =

Reminder… Examples: 3-2 = 25-1/2 =

Solving exponential equations with the same base…

You Try! Solve each equation.

Exponential Graphs F(x) = a∙bx

Compare each function to f(x) = 3x g(x) = 4x h(x) = -3-x h(x) = (1/3)x g(x) = 3x+1 g(x) = -3x h(x) = 3x – 1

Writing an Exponential Function f(x) -2 4/9 -1 4/3 4 1 12 2 36 x f(x) -2 128 -1 32 8 1 2 ½

Writing an Exponential Function Given 2 points on the graph: (0, 5) and (3, 30) (0, 9) and (1, 36/5)

You Try! Write an exponential function from the given information. Contains (0, 4) and (2, 1/16) X -2 -1 1 2 F(x) 1/12 1/2 3 18 108

A geometric sequence is a sequence whose explicit equation is exponential.

Is the sequence arithmetic, geometric or neither? If arithmetic, tell d. If geometric, tell r. -3, -1, - , - , … -3, -1, 1, 3, … 1, 4, 9, 16, … 10, 4, -2, -8, … 10, -5, 2.5, -1.25, …

Write the explicit formula for the geometric sequence described. A1 = 10, r = ½ A1= 6, Ak+1 = -1.5Ak 16, 12, 9, 6.75, … A2= -18, A5= 2/3