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Examine the following lists below and group the lists into three:
-2,-3,-4,-5,-62,7,8,11,193,6,9,12,151,3,9,27,81
0,1.1,4,5,7.7
What is an arithmetic sequence?
A sequence in which
each term is found by
ADDING the same
number to the previous
term.
4, 8, 12 , 16, 20………….. +4 +4+4 +4
What is the common difference?
The difference between
each number. This
determines what is added to
each previous number to
obtain the next number.
4, 8, 12, 16, 20…………..4 is the common difference
What is a geometric sequence?
A sequence in which
each term can be found
by multiplying the
previous term by the
same number.
3, 9, 27 , 81, 243………….. x3 x3x3 x3
What is the common ratio?
The number used to multiply
by each previous number to
obtain the next number.
2, 8, 32, 128, 512…………..4 is the common ratio
Let’s
Practice!
Is this an arithmetic or geometric sequence?
10, 15, 20, 25, 30……
Arithmetic Sequence
+5
5 is the common difference
Is this an arithmetic or geometric sequence?
2, 12, 72, 432, 2,592……
Geometric Sequence
x6
6 is the common ratio
What is the next term in this sequence?
5, 20, 80, 320 , _____
1,280
x4 x4 x4 x4
What is the next term in this sequence?
5, -1, -7 -13 , _____
-19
-6 -6 -6 -6
What is the next term in this sequence?
-3, 6, -12, 24 , _____
-48
X-2 X-2 X-2 X-2
What is the next term in this sequence?
-400,-380,-360,-340 , ____
-320
+20 +20 +20 +20
What is the next term in this sequence?
100, 75, 50 , 25____
0
-25 -25 -25 -25
What is the next term in this sequence?
12, -48, 192 , -768____
3,072
x-4 x-4 x-4x-4
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