Download arithmetic sequences part 2.notebook - Crest Ridge R-VII

arithmetic sequences part 2.notebook
August 15, 2012
Arithmetic Sequences part 2
1, 3, 5, 7, ...
Is this an arithmetic sequence? What is being added to each term to get the next term? terms
What type of relation is this arithmetic sequence?
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arithmetic sequences part 2.notebook
August 15, 2012
Next and Now Terminology 1, 4, 7, 11, 14, ...
now +/­ common difference = Next
1 + 3 = 4
4 + 3 = 7 7 + = 11
+ 3 = 14
Now you try! p. 106 1­3 1) 3, 10, 17, 24, 31, _____, ______, _____ 2) 34, 31, 28, 25, 22, _____, ______, ______
3) 10.5, 11.1, 11.7, 12.3, 12.9, ______, _____, ______
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arithmetic sequences part 2.notebook
August 15, 2012
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arithmetic sequences part 2.notebook
August 15, 2012
Geometric Sequences
Sequence of numbers where the ratio of consecutive terms is constant.
ratio: comparison of two numbers
Geometric sequences deal with multiplying or dividing by a constant rate to get the next term (number).
1, 2, 4, 8, 16, 32, 64, ... 2/1 = 8/4 = 4/2= 16/8 = 32/16= 64/32 =
What is this sequence's common ratio?
Not arithmetic because __________________________. Let's graph it. term
Is this linear?
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arithmetic sequences part 2.notebook
August 15, 2012
Geometric Sequences Equation
An=A1 x r (n­1)
N1 = first number in the sequence
r= ratio, or rate of change
n = number in the sequence you are looking for
An = the number you are looking for
Find the ratio
6,12, 24, 48, 96
3,9,27,81
2, ­1, 1/2, ­1/4, 1/8
2,­4,8,­16, 32
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arithmetic sequences part 2.notebook
August 15, 2012
Find the 5th term
4,20,100,500
Find the 7th term in the sequence:
6,­3,3/2,­3/4,
Find the 11th term in the sequence
1,­1/2, 1/4, ­1/8
Wendy bought 2 stamps during her first year of stamp collecting. Each year, she bought twice as many stamps as she bought the previous year. How many stamps did Wendy have in her collection after 15 years?
The value of Mr. Woolsey's car depreciates at about 12% per year. If he bought his car for $31,000, what will its value be in 5 years?
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arithmetic sequences part 2.notebook
August 15, 2012
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