Arithmetic Sequence Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Andwaley Wellington
Used 21+ times
FREE Resource
6 Slides • 12 Questions
1
A sequence is an ordered list of numbers. Each number in a sequence is called a term. Each term an has a specific position n in the sequence.
example: 5, 10, 15, 20, 25,…an
2
An arithmetic sequence is a sequence where you add a constant number to find the next term, similar to the constant rate of change in a linear function.
In an arithmetic sequence we only add to find the next number (term). This number can be positive or negative.
3
In a sequence each number is called a term.
The dots at the end mean the sequence continues forever.
a1 is the first term
a2 is the second term
a3 is the third term and so on...
an is the nth term (we will find the equation for the nth term in the next lesson)
4
The number you add/subtract to find the next term in a sequence is called the common difference.
Subtract two terms to find the common difference. d is used to define the common difference
5
Multiple Choice
What is the lesson about?
Arithmetic Sequences
Geometric Sequences
No idea
Some math stuff
6
Multiple Choice
What is each number in a sequence called?
common difference
term
sequence
arithmetic
7
Multiple Choice
What is the difference between two numbers in an arithmetic sequence called?
common difference
term
sequence
number
8
Multiple Choice
Identify the common difference.
10, 20, 30, 40, ...
5
10
15
20
9
Multiple Choice
The next two terms of the sequence 12,17,22,27 are
28 and 33
29 and 34
32 and 37
30 and 35
10
Multiple Choice
11
Multiple Choice
Find the common difference: 29, 21, 13, 5, ...
Remember, the common difference is the difference between the numbers.
d = -10
d = -9
d = -8
d = -7
12
Fill in the Blanks
Fill in the blank: What is the next number in the arithmetic sequence?
2, 8, 14, 20,
Type answer...
13
Multiple Choice
If the first term of an arithmetic sequence is 5 and the common difference is 6, what are the first five terms?
5, 11, 17, 23, 29
6, 11, 16, 21, 26
5, 10, 15, 20, 25
5, 11, 15, 20, 26
14
Or the 372nd term?
Never fear, I have a way for you to find ANY term :)
15
16
Multiple Choice
The formula for finding the nth term of the arithmetic sequence:
15, 13, 11, 9 ...
* what is the first term?
* what is the common difference?
15+(n−1)(2)
9+(n−1)(2)
15+(n−1)(−2)
17
Fill in the Blanks
Find 141st term of the arithmetic sequence: 15, 13, 11, 9...
1) Use the formula an=a1+(n−1)(d)
2. Replace n with the term you are looking for ( 141 )
3. Replace a1 with the first tern in the arithmetic sequence ( 15 )
4. Say to yourself, this is why I was told to have a calculator ;)
5. The 141st term of the arithmetic sequence is
Type answer...
18
Fill in the Blanks
Given the explicit formula, what is the first term (a1)?
an = 3 + (n − 1)(2)
A sequence is an ordered list of numbers. Each number in a sequence is called a term. Each term an has a specific position n in the sequence.
example: 5, 10, 15, 20, 25,…an
Show answer
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