This paper circulates around the core theme of (a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even. together with its essential aspects. It has been reviewed and purchased by the majority of students thus, this paper is rated 4.8 out of 5 points by the students. In addition to this, the price of this paper commences from £ 99. To get this paper written from the scratch, order this assignment now. 100% confidential, 100% plagiarism-free.
Question 1: [25 marks]
(a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even. See the example on page 152 (4th ed) for how to lay this proof out.
(b) Determine whether 0.151515... (repeating forever) is a rational number. Give reasoning.
(c) Use proof by contradiction to show that for all integers n, 3n + 2 is not divisible by 3. (d) Is {{5,4},{7,2},{1,3,4},{6,8}} a partition of {1,2,3,4,5,6,7,8}? Why?