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

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Sequences and Series - $100

Write an explicit formula for the nth term.

ANSWER

1 4 9 16 . . .

Sequences and Series - $200

ANSWER

Write a recursive formula for the nth term.

25 33 41 49 . . .

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

Sequences and Series - $400

ANSWER

Write an explicit formula for the nth term.

1

8, 1

1, 1

2n

n

na

a n

Sequences and Series - $500

ANSWER

Use sigma notation to write the sum.

1 2 6 24 120 720

2 4 8 16 32 64+ + + + +

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

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

ArithmeticSequences - $300

ANSWER

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

5 10 15 20 . . .

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

ArithmeticSequences - $500

ANSWER

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

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

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 . . .

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

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

Geometric Sequences - $400

ANSWER

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

8 + 2 + 1 1

...2 8

Geometric Sequences - $500

ANSWER

Find a1 for the geometric series described.

Sn = 186, r = 2, n = 5

Sums - $100

ANSWER

4

1

(2 5)n

n

Evaluate Using a Formula

Sums - $200

ANSWER

Evaluate Using a Formula

0

26

3

n

n

Sums - $300

ANSWER

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

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?

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?

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?

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?

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?

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?

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.

****Answers****

Sequences and Series - $100

DONE

2na n=

Sequences and Series - $200

DONE

1

1

25

8k k

a

a a+

=

= +

Sequences and Series - $300

DONE

365

Sequences and Series - $400

DONE

11

82

n

na-æö÷ç= ÷ç ÷÷çè ø

Sequences and Series - $500

DONE

6

1

!18.25

2nn

n

=

=å

ArithmeticSequences - $100

DONE

45 134a =

ArithmeticSequences - $200

DONE

21 87a =

ArithmeticSequences - $300

DONE

1 1

5 ( 1) 5

Re

5 5

n

k k

Explicit

a n

cursive

a a a

+

= + -

= = +

ArithmeticSequences - $400

DONE

33n=

ArithmeticSequences - $500

DONE

14

1

6 ( 1) 7 721n

n =

+ - =å

Geometric Sequences - $100

DONE

Geometric Sequences - $200

DONE

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

Geometric Sequences - $300

DONE

$12

Geometric Sequences - $400

DONE

y=50x + 12

or

c = 50n + 12

Geometric Sequences - $500

DONE

y = 5x + 20

Sums - $100

DONE

7y=

Sums - $200

DONE

6x=-

Sums - $300

DONE

Sums - $400

DONE

33

4y x= +

Sums - $500

DONE

Potpourri - $100

DONE

POSITIVE CORRELATION

Potpourri - $200

DONE

Potpourri - $300

DONE

Potpourri - $400

DONE

Potpourri - $500

DONE

CONTINUE

CONTINUE

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• 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

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