1. Examine the following lists below
and group the lists into three:
-2,-3,-4,-5,-6
2,7,8,11,19
3,6,9,12,15
1,3,9,27,81
0,1.1,4,5,7.7

2. What is an arithmetic
sequence?
A sequence in which
each term is found by
ADDING the same
number to the previous
term.
4, +4 8,+4 12 +4 16,+4 20…………..
,

3. 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

4. What is a geometric
sequence?
A sequence in which
each term can be found
by multiplying the
previous term by the
same number.
3,x3 9,x3 27x3 81, 243…………..
, x3

5. 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

6. Let’s
Practice!

7. Is this an arithmetic or
geometric sequence?
10, 15, 20, 25, 30……
Arithmetic Sequence
+5
5 is the common difference

8. Is this an arithmetic or
geometric sequence?
2, 12, 72, 432, 2,592……
Geometric Sequence
x6
6 is the common ratio

9. What is the next term in
this sequence?
x4 x4 x4 x4
5, 20, 80, 320 , _____
1,280

10. What is the next term in
this sequence?
-6 -6 -6 -6
5, -1, -7 -13 , _____
-19

11. What is the next term in
this sequence?
X-2 X-2 X-2 X-2
-3, 6, -12, 24 , _____
-48

12. What is the next term in
this sequence?
+20 +20 +20 +20
-400,-380,-360,-340 , ____
-320

13. What is the next term in
this sequence?
-25 -25 -25 -25
100, 75, 50 , 25____
0

14. What is the next term in
this sequence?
x-4 x-4 x-4 x-4
12, -48, 192 , -768____
3,072