Home | Algebra | Patterns | Recommended Investigations | Summing Multiples

summing multiples

Find the sum of all the multiples of 3 from 1 through 300. Do you see a pattern developing? Find the sum of the multiples of 7 from 1 through 700. Have you found the pattern? Next suppose we let N be any whole number. Find the sum of all the multiples of N from 1 through 100*N.

(Source: Adapted from Mathematics Teaching in the Middle School, Sep-Oct1994)

 Related External Resources

The Name Game
Determine how many names are stated when a teacher learns all of the names in the class.

The Tortoise and the Hare Race [ java applet ]
This investigation examines the process of a race through Zeno's paradox. Investigation questions are provided.

I Know a Secret -
This problem investigates how long it takes for a rumor to spread in a school.

Submit your idea for an investigation to InterMath.