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Sequences and Series

At the elementary level students observe patterns and as they get more sophisticated in their mathematical thinking, some patterns can be written in the form of a sequence or series.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Number Theory
The closest match in our Ask Dr. Math archives:
Middle School Archive
NCTM Standards:
Number and Operations Standard for Grades 68
Access to these problems requires a Membership.

A Cranberry Craving
 Claire Mead, Suzanne Alejandre

PreAlgebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on
Thanksgiving Thursday.
... more>>

Fall Festival Frolic
 Judy Ann Brown

PreAlgebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags?
... more>>

Falling into Sequences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula.
... more>>

Falling Leaves
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the number of leaves that were falling.
... more>>

Lucky Lollipops
 Suzanne Alejandre & Maria Fung and her students

PreAlgebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
... more>>

Making Money
 Alice Miller

PreAlgebra, difficulty level 3. How much money would you have by December 31, 1999, if you put 10 cents in the special "math" bank on January 1, 1999?
... more>>

The Name Game
 Judy Ann Brown

PreAlgebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30?
... more>>

Runsums, Part 1
 Ron Knott

PreAlgebra, difficulty level 3. By spotting the pattern, tell me the smallest number that is a sum of a run of one hundred consecutive numbers.
... more>>

Runsums, Part 2
 Ron Knott

PreAlgebra, difficulty level 3. Explore number patterns and report on what you have learned.
... more>>

Seating Dilemma
 Judy Ann Brown

PreAlgebra, difficulty level 2. Count the number of ways to seat people, if some are math teachers who cannot be next to each other.
... more>>

Snow Day Phone Chain
 Judy Ann Brown

PreAlgebra, difficulty level 4. Use the given information to find out how many phone calls were made.
... more>>
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