A network routing protocol generates a priority index SSS for a data stream of size k∈Nk \in \mathbb{N}k∈N based on the formula
S=k2+12k+13 S = k^2 + 12k + 13 S=k2+12k+13Use the method of proof by contradiction to show that if the priority index SSS is even, then the data stream size kkk must be odd.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
