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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$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
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.