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Algebraic Methods

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Question 37
a.

Two consecutive odd numbers are (2n+1)(2n + 1)(2n+1) and (2n+3)(2n + 3)(2n+3).

Find their sum in the form an+ban + ban+b, where a a\,a and b b\,b are integers.

[1]
b.

Hence prove that the sum of two consecutive odd numbers is a multiple of 4

[1]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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