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Center for the Mathematics Education of Latinos/as
Summing Consecutive Integers
¥Goals: Finding and understanding patterns
¥*Questions such asÉ
Is it possible to write 42 as the sum of three consecutive integers?(Yes,42 = 13 + 14 + 15)
Which numbers can be written as the sum of four consecutive integers?
¥10 = 1 + 2 + 3 + 4
¥14 = 2 + 3 + 4 + 5
¥18 = 3 + 4 + 5 + 6
¥22 = 4 + 5 + 6 + 7
*Taken from: Driscoll, Mark.  Fostering Algebraic Thinking: A guide for Teachers Grades 6-10. Portsmouth, NH: Heinemann, 1999, p. 79.