1) The document contains notes from a math lesson on arithmetic sequences. It includes examples of determining if a sequence is arithmetic, finding subsequent terms, and writing the equation for the nth term. 2) Students are assigned odd problems from the textbook section for homework due the next day. 3) There will be a chapter 3 test on Tuesday.

1. Lesson 3­5.notebook October 01, 2013
Assignment:
1­­>L3.5, pg. 191, #2­20 (evens) ­ Due Tomorrow (10/2)
2­­>Test signed??
3­­>Chapter 3 Test ­ Tuesday (10/8)

2. Lesson 3­5.notebook October 01, 2013
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

3. Lesson 3­5.notebook October 01, 2013
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

4. Lesson 3­5.notebook October 01, 2013
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

5. Lesson 3­5.notebook October 01, 2013
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!

6. Lesson 3­5.notebook October 01, 2013
Find the next 3 terms of the arithmetic sequence.
C) 15, 9, 3, ­3, ...
D) 9.5, 11.0, 12.5, 14.0, ...

7. Lesson 3­5.notebook October 01, 2013
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 =
equation ­> an = a1 + (n ­ 1)d
X
Y

8. Lesson 3­5.notebook October 01, 2013
X
Y
F) ­2, 3, 8, 13, ...
a1 =
d =
equation ­> an = a1 + (n ­ 1)d