A Triangular Pattern The ancient Greeks labeled certain

Chapter 1, Problem 1.1.32

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A Triangular Pattern The ancient Greeks labeled certain numbers as triangular numbers. The numbers 1, 3, 6, 10, 15, 21, and so on are triangular numbers. 1 3 6 10 15 21 a) Can you determine the next two triangular numbers? b) Describe a procedure to determine the next five triangular numbers without drawing the figures. c) Is 72 a square number? Explain how you determined your answer.

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