Page 40 - Math Course 1 (Book 1)

Arithmetic Sequences

Subtract 3 from the last term of the sequence to
Let’s Begin get the next term in the sequence.
Continue subtracting 3 until the next three terms
are found.

Identify Arithmetic Sequences Answer The next three terms are
–20, –23, –26.
Examples

Your Turn!
Determine whether –15, –13, –11, –9, ... is an
arithmetic sequence.
Identify Arithmetic Sequences
Explain. -15 -13 -11 -9
Determine whether 2, 4, 8, 10, 12, … is an

+2 +2 +2 arithmetic sequence.
A. cannot be determined
This is an arithmetic sequence. The
Answer
difference between terms is constant at B. This is not an arithmetic sequence because
+2 the difference between terms is not constant.

C. This is an arithmetic sequence because the
7 5 1 5
Determine whether , , , ,...is an difference between terms is constant.
8 8 8 8
arithmetic sequence. Answer

7 5 1 5
8 8 8 8 Determine whether 2 , 1, 4, 5, 2, ...is an

arithmetic sequence. 3 3 3
1 1 3 A. cannot be determined
4 2 4
B. This is not an arithmetic sequence because
This is not an arithmetic sequence the difference between terms is not constant.
Answer because the difference between terms
is not constant. C. This is an arithmetic sequence because the
difference between terms is constant.
REAL WORLD EXAMPLE
Answer
TEMPERATURE

The arithmetic sequence –8, –11, –14, –17,… TEMPERATURE The arithmetic sequence
represents the daily low temperature in ºF.
58, 63, 68, 73,... represents the daily high
Find the next three terms. temperature in ºF. Find the next three terms.
A. 78, 83, 88 C. 73, 78, 83
Find the common difference by B. 76, 79, 82 D. 83, 88, 93
subtracting successive term.

-8 -11 -14 -17 ? ? ? Answer

-3 -3 -3 -3 -3 -3

The common difference is -3
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