Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by

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Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by the Greeks. Four pentagonal numbers are 1, 5,12, and 22.

5 12 22

(a) Determine the next three pentagonal numbers. 

(b) Describe a procedure to determine the next five pentagonal numbers without drawing the figures.

(c) Is 72 a pentagonal number? Explain how you deter-mined your answer.

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Related Book For  book-img-for-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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