will be marked) and 2 marks for presentation. Submit your solutions to the following problems: 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...

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Extracted text: will be marked) and 2 marks for presentation. Submit your solutions to the following problems: 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 1 1 +... 1 1-3 3-5 5-7 (2n - 1)(2n + 1) 2n + 1 (E-) 3. Multiply out ri writing the result in summation notation. i-1 4. For the incquality 3"+1 >nt determine the set of natural numbers for which it hol