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Proof

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Question 6
72%

Prove that (3n+2)2−(3n−2)2(3n + 2)^2 - (3n - 2)^2(3n+2)2−(3n−2)2 is always a multiple of 8, for all positive integer values of nnn.

[2]

Proof Questions

  1. GCSE
  2. /Maths
  3. /Proof

Practise OCR GCSE Maths Proof with exam-style questions for Foundation and Higher tier. 56 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.

Question bank

Quadratic Simultaneous Equations
Transforming Graphs y=f(x)
Proof
Completing the Square
The Nth Term of a Quadratic Sequence
Quadratic Inequalities
Velocity Time Graphs
Proof of the Circle Theorems
Perpendicular Lines and the equation of a tangent
Vectors Proof Questions
Probability Equation Questions