1. Lesson 3­5.notebook November 08, 2012
Assignment:
1­­>L3.5, pg. 191, #2­20 (evens) ­ Due Monday (11/12)
2­­>Checkpoint 3­1 through 3­3 ­ Due Monday (11/12)
3­­>Chapter 3 Test ­ Thursday (11/15)
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2. Lesson 3­5.notebook November 08, 2012
Lesson 3.5 WarmUp:
Find the slope of the line that passes through each
pair of points.
A) (5, 3), (­2, 6)
B) (9, 2), (­3, ­1)
C) (2, 8), (­2, ­4)
Graph the following:
D) y = ­3x
E) y = 3x
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3. Lesson 3­5.notebook November 08, 2012
Lesson 3.5:
*sequence ­ a set of numbers in a specific order
*terms of the sequence ­ the numbers that make up the pattern or
sequence
*arithmetic sequence ­ a numerical pattern that increases or decreases at
a constant rate called the common difference
ex...3, 5, 7, 9, 11, ... 33, 29, 25, 21, 17, ....
+2 +2 +2 +2 ­4 ­4 ­4 ­4
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4. Lesson 3­5.notebook November 08, 2012
FYI...
You can use the common difference to find the next term(s) in the
sequence
Also, each term in an arithmetic sequence can be expressed in terms
of the first term a1 and the common difference d.
Formula for the nth term of an arithmetic sequence:
an = a1 + (n ­ 1)d
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5. Lesson 3­5.notebook November 08, 2012
Lesson 3.5 examples:
Determine if the sequence is an arithmetic sequence. Explain.
A) ­4, ­2, 0, 2, ...
yes...b/c the difference is a constant!
B) 1/2, 5/8, 3/4, 13/16, ...
no...b/c the difference is not constant!
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6. Lesson 3­5.notebook November 08, 2012
Find the next 3 terms of the arithmetic sequence.
C) 15, 9, 3, ­3, ...
D) 9.5, 11.0, 12.5, 14.0, ...
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7. Lesson 3­5.notebook November 08, 2012
Write an equation for the nth term of the arithmetic sequence. Then graph the
first five terms in the sequence.
E) ­12, ­8, ­4, 0, ...
a1 =
d =
Y
equation ­> an = a1 + (n ­ 1)d
X
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8. Lesson 3­5.notebook November 08, 2012
F) ­2, 3, 8, 13, ...
a1 =
d =
Y
equation ­> an = a1 + (n ­ 1)d
X
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