The document provides instructions and content for Lesson 3.5 on arithmetic sequences. It includes assignments that are due on November 12th and 15th. The lesson defines arithmetic sequences as numerical patterns that increase or decrease at a constant rate, and provides examples of determining if a sequence is arithmetic and finding subsequent terms using the common difference. It also gives the formula for writing the nth term of an arithmetic sequence in terms of the first term and common difference.
Solution to Diabolic Str8ts #8 puzzle (http://is.gd/slowthinker_diabolic_str8ts_8c) and its tough variation Diabolic #8b (http://is.gd/slowthinker_diabolic_str8ts_8d)
Solution to Diabolic Str8ts #8 puzzle (http://is.gd/slowthinker_diabolic_str8ts_8c) and its tough variation Diabolic #8b (http://is.gd/slowthinker_diabolic_str8ts_8d)
Diabolic Str8ts #3 and Weekly Extreme #63 - SolutionSlowThinker
Solution to Diabolic Str8ts #3
(http://is.gd/slowthinker_diabolic_str8ts_3)
and solution to Weekly Extreme Str8ts #63.
Watch me solve it on YouTube: http://youtu.be/uE25Kdop9wM
Diabolic Str8ts #3 and Weekly Extreme #63 - SolutionSlowThinker
Solution to Diabolic Str8ts #3
(http://is.gd/slowthinker_diabolic_str8ts_3)
and solution to Weekly Extreme Str8ts #63.
Watch me solve it on YouTube: http://youtu.be/uE25Kdop9wM
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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