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Page 1: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000
Page 2: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Chapter 9 - Review

Jeopardy! Style

Page 3: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequence Jeopardy – Ch. 4

Sequences

Arithmetic sequences

Geometric sequences

sums Problem solving

200 200 200 200 200

400400 400400 400

600 600 600 600 600

800 800 800 800 800

10001000 1000 1000 1000

Page 4: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequences - 200

Find the first five terms of the sequence

an = 3n - 5Back to the Game Board

Page 5: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequences - 400

Evaluate 4!/(3!6!)

Back to the Game Board

Page 6: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequences - 600

Find an equation to represent the sequence

1, 1, 2, 6, 24, 120,…

Back to the Game Board

Page 7: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequences - 800

Find an equation to represent the sequence

1/3, 2/9, 4/27, 8/81, …

Back to the Game Board

Page 8: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sequences - 1000

Use sigma notation to write the sum

1 – ½ + ¼ - 1/8 + … -1/128

Back to the Game Board

Page 9: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Arithmetic - 200

Is this an arithmetic sequence and why?

8, 6, 4, 2, 0, …

Back to the Game Board

Page 10: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Arithmetic - 400

Find the 8th term of the arithmetic sequence with

a1 = -5 and d = 3

Back to the Game Board

Page 11: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Arithmetic - 600

Find the equation to describe this sequence

150, 120, 90, …

Back to the Game Board

Page 12: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Arithmetic - 800

Find three arithmetic

means between

8 and 50.

Back to the Game Board

Page 13: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Arithmetic - 1000

Given the arithmetic sequence with a3= -45 and a8 = 125.

Find a50Back to the Game Board

Page 14: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Geometric - 200

Is this a geometric sequence and why?

1, 4, 9, 16, 25, …

Back to the Game Board

Page 15: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Geometric - 400

Back to the Game Board

Find the 20th term of the geometric sequence with a1 = 5 and r = 3

Page 16: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Geometric - 600

Find the equation of the geometric sequence with a3 = 10 and a5 = 62.5

Back to the Game Board

Page 17: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Geometric - 800

Find the first term of the geometric sequence with a3 = 12 and a6 = 32/9

Back to the Game Board

Page 18: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Geometric - 1000

Find two geometric means between 8 and 1

Back to the Game Board

Page 19: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sums- 200

Find the sum of the integers 1 - 50

Back to the Game Board

Page 20: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sums - 400

Find the sum of

3, 10, 17, …66

Back to the Game Board

Page 21: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sums- 600

Find the sum of

2, 4, 8, 16, …, 256

Back to the Game Board

Page 22: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sums- 800

Find the sum of

1, 1/3, 1/9, 1/27, …

Back to the Game Board

Page 23: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Sums- 1000

Find the sum of

3, 6, 12, 24, …

Back to the Game Board

Page 24: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Problem Solving - 200

At the end of 6 years how much money do you have if you invest $3000 at 4% interest compounded quarterly?

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Page 25: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Problem Solving - 400

You just won a prize from a radio station.

$1000 to start and $250 each month after the initial amount. How much money will you have after 2 years?

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Page 26: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Problem Solving - 600

You accept a job that pays a salary of $32,000 the first year and you will receive a 5.5% raise each year after that, for the next 39 years. What is your total compensation of the entire 40 years?

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Page 27: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Problem Solving - 800

A company buys a machine for $120,000. During the next 5 years it will depreciate at a rate of 30% per year. Find the depreciated value at the end of the 5 years.

Back to the Game Board

Page 28: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000

Problem Solving - 1000

Find the sum of the first 20 terms of the geometric sequence with

a1 = 16 and a2 = -8

Back to the Game Board

Page 29: Chapter 9 - Review Jeopardy! Style Sequence Jeopardy – Ch. 4 SequencesArithmetic sequences Geometric sequences sumsProblem solving 200 400 600 800 1000