Problem

A Triangular Pattern The ancient Greeks labeled certain numbers as triangular numbers. The...

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.

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 triangular number? Explain how you determined your answer.

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