4. Let n> 1. A hexagonal number ho is of the form h, = n(2n – 1). %3D a. Determine the first 5 hexagonal numbers. b. Illustrate the first 5 hexagonal numbers. c. Define h, recursively. d. If p, and tn-1 are nth pentagonal and (n- 1)th triangular numbers, respectively, then prove directly that pn + tn-1 = hg:

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