Let n>1. A hexagonal number h, is of the form h, = n(2n – 1). a. Determine the first 5 hexagonal numbers. b. Illustrate the first 5 hexagonal numbers. c. Define h, recursively. d. If p, and t,-1 are nth pentagonal and (n – 1)th triangular numbers, respectively, then prove directly that p, + tp-1 = h,-

Let n>1. A hexagonal number h, is of the form h, = n(2n – 1). a. Determine the first 5 hexagonal numbers. b. Illustrate the first 5 hexagonal numbers. c. Define h, recursively. d. If p, and t,-1 are nth pentagonal and (n – 1)th triangular numbers, respectively, then prove directly that p, + tp-1 = h,-

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 49E: A diagonal of a cube joins two vertices so that the remaining points of the diagonal lie in the...

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