Download Find the next 3 numbers in each sequence, and then describe the

Warm Up:
Find the next 3 numbers in each sequence, and then describe the pattern.
1, 5, 9, 13, ... 4, 6, 8, 10, ...
pattern:
pattern:
Algebra is man's attempt to make predictions on our future world based on the gathered data that he has collected.
As the data is gathered, it is numbered. To make a prediction, we must come up with a generalized pattern, or rule, to describe the discovered pattern. In Algebra, one method of accomplishing this is called sequences­ which is a set of numbers following a pattern. To generalize the rule to any term within the pattern, we use the nth term. Sequences:
CCSS: A.CED.2 Create equations in two or more variables to represent relationships between quantities.
CCSS: F.IF.3 Recognize that sequences are functions, whose domain is a subject of the integers.
Learning Targets: 1. Student will put sequences into a table and write its function rule to find the nth term.
2. Students will use the same methods to write the equation of a relationship represented by a table. 3. Students will make connections between patterns in sequences and slope.
If you are given a set of numbers: 0, 3 6 9, ... and told that it is a sequence, that means that the pattern continues. To make predictions about any number in that sequence, you need to identify the rule the pattern is following, represent that pattern with an expression, and generalize it as an equation or function to be able to find any term, the nth term. Put the sequence into a table, identify the next 3 numbers in the sequence, represent the pattern with an equation to find any given term.
1. 0, 3, 6, 9, ...
Term Sequence
What rule will get you from the
term # to the sequence # ?
nth term: ____ n + ____
Find the next 3 terms and use the table to write the equation or function for the nth term.
Ex1. 4, 7, 10, 13,... Ex2. 5, 6, 7, 8, ...
Given the sequence of numbers, list the next three numbers in the sequence, make a table, and write the equation for the nth term.
QA1. 3, 4, 5, 6, ... QA2. 0, 1, 2, 3, ...
QA3. 1, 3, 5, 7, ...
Extend:
1. Can you name the process you are using to find
the number in front of n?
2. If you graphed the equation, what type of graph do you think it would be?
3. Why would anyone want to complete this process?
What would be the 20th term?
Post Assessment:
Find the next 3 numbers in each sequence, and then find the nth term to describe the sequence of any term.
1. 1, 5, 9, 13, ... 2. 4, 6, 8, 10, ...
nth term
1000th term
nth term
10, 000th term
HW # 3: Sequence Worksheet