Math Forum - Problems Library - Pre-Algebra, Number Theory: Sequences and Series

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Pre-Algebra
operations with numbers
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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 6-8

Access to these problems requires a Membership.

A Cranberry Craving - Claire Mead, Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on Thanksgiving Thursday. ... more>>

Fall Festival Frolic - Judy Ann Brown
Pre-Algebra, 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
Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula. ... more>>

Falling Leaves - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the number of leaves that were falling. ... more>>

Lucky Lollipops - Suzanne Alejandre & Maria Fung and her students
Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method. ... more>>

Making Money - Alice Miller
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, difficulty level 3. Explore number patterns and report on what you have learned. ... more>>

Seating Dilemma - Judy Ann Brown
Pre-Algebra, 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
Pre-Algebra, difficulty level 4. Use the given information to find out how many phone calls were made. ... more>>

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