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9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

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Page 1: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100
Page 2: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

9.1-9.3

Potpourri

9.1-9.3

Sums

9.3

Geometric Sequences

9.2

Arithmetic

Sequences

9.1

Sequences and Series

$500$500$500$500$500

$400$400$400$400$400

$300$300$300$300$300

$200$200$200$200$200

$100$100$100$100 $100

Page 3: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Click here to go back to the main board

You have selected an area of the board not in play.

Page 4: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $100

Write an explicit formula for the nth term.

ANSWER

1 4 9 16 . . .

Page 5: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $200

ANSWER

Write a recursive formula for the nth term.

25 33 41 49 . . .

Page 6: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $300

ANSWER

Find the sixth term of the sequence, using the formula. c.

1

2, 1

3 1, 1nn

na

a n

Page 7: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $400

ANSWER

Write an explicit formula for the nth term.

1

8, 1

1, 1

2n

n

na

a n

Page 8: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $500

ANSWER

Use sigma notation to write the sum.

1 2 6 24 120 720

2 4 8 16 32 64+ + + + +

Page 9: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $100

ANSWER

Find the specified term for each of the following sequences. You may use calculators but show what you put in the calculator!

for 2, 5, 8,… 45a

Page 10: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $200

ANSWER

Find the specified term for each of the following sequences. You may use calculators but show what you put in the calculator!

for 7, 11, 15,… 21a

Page 11: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $300

ANSWER

Write an explicit formula for the nth term of the following sequence. Then define it recursively.

5 10 15 20 . . .

Page 12: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $400

ANSWER

Find out which term number is associated with the given value in the indicated sequence.

101 in the sequence with a1 = 5 and d = 3

Page 13: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $500

ANSWER

Write the following series using sigma notation and find the sum.

6 + 13 + 20 + 27 + . . . + 97

Page 14: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $100

ANSWER

Find the specified term for the following sequence. You may use calculators but show what you put in the calculator!

a 9 for 4 16 64 256 . . .

Page 15: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $200

ANSWER

Write an explicit formula for the nth term of the following geometric sequence. Then define it recursively.

1 1 1 1...

2 6 18 54

Page 16: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $300

ANSWER

Find the term number of the given value in the indicated sequence.

2 in the sequence with a1 = and r = 21

32

Page 17: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $400

ANSWER

Write the series using sigma notation and find the sum, if it exists.

8 + 2 + 1 1

...2 8

Page 18: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $500

ANSWER

Find a1 for the geometric series described.

Sn = 186, r = 2, n = 5

Page 19: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $100

ANSWER

4

1

(2 5)n

n

Evaluate Using a Formula

Page 20: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $200

ANSWER

Evaluate Using a Formula

0

26

3

n

n

Page 21: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $300

ANSWER

Find a1 for the series where S7 = 2188 , r = -3 .

Page 22: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $400

ANSWER

The front row of a theater has 32 seats. Each row after the first has 4 more seats than the previous row. How many seats are in the 36th row? How many seats are in the theater if there are 36 rows?

Page 23: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $500

ANSWER

A superball will rebound 75% of the height from which it is dropped. If it is dropped from a height of 300 cm, how far will the ball travel by the time it comes to rest?

Page 24: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $100

ANSWER

A new car is purchased for $22,000. It decreases in value by 25% each year. What will its value be in 12 years?

Page 25: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $200

ANSWER

Ben has a job with a starting salary of $35,000 and receives an annual raise of 5%. What will his salary be in his 6th year on the job?

Page 26: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $300

ANSWER

Mary is training for a bike tour. She starts biking 14 miles the first week. By the 25th week she wants to bike 74 miles a week. If she increases a constant amount each week, how much is her weekly increase?

Page 27: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $400

ANSWER

A pile of bricks has 85 bricks in the bottom row, 79 bricks in the second row, 73 in the third row and so on until there is only 1 brick in the top row.

1. How many bricks are in the 12th row?2. How many rows are there in all?

Page 28: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $500

ANSWER

Create a Fibonacci-type sequence starting with 2 and 4. Write the first six terms of the sequence and then write a recursive formula for the sequence.

Page 29: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

****Answers****

Page 30: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $100

DONE

2na n=

Page 31: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $200

DONE

1

1

25

8k k

a

a a+

=

= +

Page 32: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $300

DONE

365

Page 33: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $400

DONE

11

82

n

na-æö÷ç= ÷ç ÷÷çè ø

Page 34: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sequences and Series - $500

DONE

6

1

!18.25

2nn

n

=

Page 35: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $100

DONE

45 134a =

Page 36: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $200

DONE

21 87a =

Page 37: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $300

DONE

1 1

5 ( 1) 5

Re

5 5

n

k k

Explicit

a n

cursive

a a a

+

= + -

= = +

Page 38: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $400

DONE

33n=

Page 39: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

ArithmeticSequences - $500

DONE

14

1

6 ( 1) 7 721n

n =

+ - =å

Page 40: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $100

DONE

Page 41: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $200

DONE

The initial value in a word problem is associated with the the y-intercept of the equation.

Page 42: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $300

DONE

$12

Page 43: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $400

DONE

y=50x + 12

or

c = 50n + 12

Page 44: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Geometric Sequences - $500

DONE

y = 5x + 20

Page 45: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $100

DONE

7y=

Page 46: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $200

DONE

6x=-

Page 47: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $300

DONE

Page 48: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $400

DONE

33

4y x= +

Page 49: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Sums - $500

DONE

Page 50: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $100

DONE

POSITIVE CORRELATION

Page 51: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $200

DONE

Page 52: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $300

DONE

Page 53: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $400

DONE

Page 54: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Potpourri - $500

DONE

Page 55: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

CONTINUE

Page 56: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

CONTINUE

Page 57: 9.1-9.3 Potpourri 9.1-9.3 Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100

Directions for Changing the Game

• To change the questions and answers, just type over the problems…Use the “replace” feature to change the categories easily

• The daily doubles were originally set to category #4 for $500 and category #2 for $300

• To change the daily doubles you must– 1. Change the hyperlink for the links on the main board

to go to the appropriate question, therefore bypassing the daily double slide

– 2. Change the hyperlink on the continue button on each daily double slide to go to the new question.