A digital signal processor generates a sequence of values based on prime numbers. Prove that for all prime numbers, ppp, such that 5≤p≤135 \le p \le 135≤p≤13,
p2−1 is a multiple of 24 p^2 - 1 \text{ is a multiple of } 24 p2−1 is a multiple of 24Use proof by contradiction to show that for any positive integer nnn,
n2+2 is not a multiple of 4 n^2 + 2 \text{ is not a multiple of } 4 n2+2 is not a multiple of 4Practise 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.
