Transcript Sequences Day 1 Sequences

Week 4
Warm Up
09.06.11
1) What is the distance between the sequence of numbers?
-2, 4, 10, 16, 22, . . .
Geometry
Sequences
Day 1
Arithmetic
Sequence
I will identify arithmetic and
geometric sequences.
Add or subtract the same value to the previous
term to get the next term.
+5
Ex 1
Stating a
Rule
3, 8, 13, 18, 23, 28 . . .
Use the words “starting with,” “previous,”
and “next” in writing your rule
Starting with three, five is added to the previous
number to come up with the next number.
Ex 2
Figure 1
Sequence?
Figure 2
Figure 3
Figure #
Number of dots
1
2
3
4
5
1
5
9
13
17
+4
1, 5, 9, 13, 17, . . .
Rule? Starting with one, four is added to the previous
number to come up with the next number.
Ex 3
225,
200,
175,
150, . . .
Term #1
Term #2
Term #3
Term #4
Term #
Term
1
2
3
4
225
200
175
150
125
5
Common difference?
Rule?
-25
Starting with 225, 25 is subtracted from
the previous number to come up with the
next number
Ex 4
2, 6, 10, 14, . . .
Term #
Term
1
2
3
4
5
2
6
10
14
18
•
•
•
•
•
Rule?
Starting with 2, 4 is added to the previous
number to come up with the next number
Do 1:
Arithmetic Sequences
6, 16, 23, 37, 51, . . .
1, 5, 9, 13, 17, . . .
3, 6, 12, 24, 48, . . .
Geometric
Sequence
Multiply or divide the same value to the previous
term to get the next term.
*2
Ex 6
7, 14, 28, 56, 112, 224, . .
Term #
1
2
3
4
5
Rule?
Term
7
14
28
56
112
Starting with 7, 2 is multiplied to the
previous number to come up with the
next number
Review
Do: 2
What is an Arithmetic Sequence?
325,
310,
295,
280, . . .
Term #1
Term #2
Term #3
Term #4
Term #
Assignment:
Term
Handout 1.1 CW - Sequences
Ex 5
Arithmetic Sequences
6, 17, 28, 39, 50, . . .
1, 5, 9, 14, 20, . . .
2, 6, 18, 54, 162, . . .