4. For the inequality 3"+1 >n determine the set of natural numbers for which it holds.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Question
4
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
1-2 +2.3+...+ (n – 1) · n = n – I)n(n+1)
3
2. Prove that for any natural n the following holds
1
主
3 5
(2n 1)(2n + 1)
5 7
2n + 1
()
2
3. Multiply out i
writing the result in summation notation.
i31
4. For the inequality 3n+1 >nª determine the set of natural numbers for which it holds.
Transcribed Image Text: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 1-2 +2.3+...+ (n – 1) · n = n – I)n(n+1) 3 2. Prove that for any natural n the following holds 1 主 3 5 (2n 1)(2n + 1) 5 7 2n + 1 () 2 3. Multiply out i writing the result in summation notation. i31 4. For the inequality 3n+1 >nª determine the set of natural numbers for which it holds.
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