Chapter 4: 4.6.8, 4.6.9 (a), (b), 4.6.11 (b), (c), 4.6.14 1. Prove that for any natural n the following holds (n-1)n(n+1) 1.2+2.3+...+ (n- 1) n = 3 2. Prove that for any natural n the following holds...

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Extracted text: Chapter 4: 4.6.8, 4.6.9 (a), (b), 4.6.11 (b), (c), 4.6.14 1. Prove that for any natural n the following holds (n-1)n(n+1) 1.2+2.3+...+ (n- 1) n = 3 2. Prove that for any natural n the following holds 1 +...† 5-7 (2n 1)(2n + 1) 2n + 1 1.3 3-5 Σ 3. Multiply out writing the result in summation notation. 4. For the incequality 3"+1> n determine the set of natural numbers for which it holds. 100%