What comes next?

1
What comes next?

• Arithmetic Sequences

2
Write the next two terms in the sequence..

• 7, 13, 19, 25, ___, ___

31
37
3
Write the next two terms in the sequence..

• 14, 22, 30, 38, 46, ___, ___

54
62
4
Write the next two terms in the sequence..

• 3, 7, 11, 15, ___, ___

19
23
5
Write the next three terms in the sequence..

• 4, 9, 14, 19, ___, ___, ___

24
29
34
6
Write the next four terms in the sequence..

• 7, 12, 17, ___, ___, ___, ___

22
27
32
37
7
Write the first five terms of the sequence
represented..

• Start at 3 and increase by 10
• Start at 4 and increase by 5
• Start at 6 and increase by 2

3, 13, 23, 33, 43
4, 9, 14, 19, 24
6, 8, 10, 12, 14
8
Lets review! Write the first five terms of the
sequence represented..

• Start at 4 and increase by 3

n
4
7
10
13
16
1 2 3 4 5
Now lets make a table
9
Write the first five terms of the sequence
represented by..

• 2n 1

n
1 2 3 4 5
3 5 7 9 11
The nth term is the position in the sequence.
10
Now its your turn

• Write the first five terms of the sequence
  represented by..

Hint Make a Table!!!
3n 2 5n 1
n
n
1 2 3 4 5
1 2 3 4 5
5 8 11 14 17
4 9 14 19 24
11
Lets analyze arithmetic sequences...

• How do we identify the nth term of each sequence?
• 7, 12, 17, 22, ..

The nth term is ANY position (number) in the
sequence.
12

• Lets write an expression to identify the nth
  term
• 1. What is the common difference?
• 2. What is the zero term?

5
2
2

5n 2
5
5
5
13
Lets write another expression

• 7, 13, 19, 25, ..

n
6
1

7 13 19 25
1 2 3 4
6
6n 1
6
6
14
Lets try another one

• 3, 7, 11, 15, ..

n
Hint Make a Table!!!
15
Think, Pair, Share

• Which of the following tasks is easier for you?
  Why?
• Finding the next two terms in a sequence
• Using an expression to find terms in a sequence
• Writing the Algebraic Expression for a sequence