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1. If t, and s, are trinagular and square numbers, respectively, show that 8tn +1 = s2n+1: 2. A pentagonal number P, is defined by n(3n – 1) Po = Determine and illustrate the first four pentagonal numbers. a. b. Define Pn recursively. 3. Show that to + S, = pn.

1. If t, and s, are trinagular and square numbers, respectively, show that 8tn +1 = s2n+1: 2. A pentagonal number P, is defined by n(3n – 1) Po = Determine and illustrate the first four pentagonal numbers. a. b. Define Pn recursively. 3. Show that to + S, = pn.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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V. Do as indicated. 1. If t, and s, are trinagular and square numbers, respectively, show that 8t, + 1 = sn+1- 2. A pentagonal number p, is defined by n(3n – 1) 2 Po = a. Determine and illustrate the first four pentagonal numbers. b. Define Pn recursively. 3. Show that t,- + Sn Pn-
Transcribed Image Text:V. Do as indicated. 1. If t, and s, are trinagular and square numbers, respectively, show that 8t, + 1 = sn+1- 2. A pentagonal number p, is defined by n(3n – 1) 2 Po = a. Determine and illustrate the first four pentagonal numbers. b. Define Pn recursively. 3. Show that t,- + Sn Pn-
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