Download 1 4 9 16 25 - Plain Local Schools

1 4 9 16 25
2
2
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9
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Math Book
page 142­143
Homework #11
Page 144 !
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Arithmetic sequences are closely related to many of the functions you have studied thus far. x
y 1
3 2
6 3
9
4 ? What is the value of the function when x is 4? ____
Note => In order to get the answer, you must use the arithmetic sequence in the y­column to infer the next number in the sequence.
When writing functions for sequences, don't forget to write the coefficient of n and don't forget to add the constant.
For example, you may write y = 2n instead of y = 2n + 1 for the sequence 3, 5, 7,...
Be sure to check if the coefficient of n is the same as the first value of y. If it is not, you will need to add or subtract by a constant.
Term number
Term
1
2
3
4
5
6
... n
Practice
Term number
Term
1
2
3
4
5
6
... n
4 8 12 16
Term number
Term
1
2
3
4
5
6
... n
1 6 11 16
Term number
Term
1
2
3
4
3 10 17 24
5
6
... n
Pattern and Sequences
Sequence - a list of numbers which has a pattern
that is consistent from each number to
the next.
The number within the Sequence is referred
to as the terms of the Sequence.
Ex: Sequence => 2, 4, 6, 8, 10, . . .
terms
Ex: Sequence => 2, 4, 6, 8, 10, . . .
terms
Pattern => Each term is 2 more than the previous
term. (This pattern is consistent.)
What are the next 3 terms? ____, ____, ____
What is the 10th term? ____, 20th term? ____ ect.
How did you find the 10th term?
How did you find the 20th term?
How would you find the nth term?
Term number 1
Term
2
2
4
3
6
4 5 6
8 10
n
?
Pattern => Multiply the term number by 2
to get the term.
Rule => 2n
Arithmetic Sequence
A sequence in which a fixed number, called the
common difference, is added to each term to
get the next term.
Geometric Sequence
A sequence in which a fixed number, called the
common ratio, is multiplied by each term to
get the next term.
Homework #13
pp:33­34
Pages 150­152 #1­45
(Use graph paper in back of packet.)
Remember... you can go to my.hrw.com to view the online book.
Holt McDougal Online