Edexcel AS Paper 1 Specimen — Question 6

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
SessionSpecimen
TopicProof

  1. (i) Use a counter example to show that the following statement is false.
$$" n ^ { 2 } - n - 1 \text { is a prime number, for } 3 \leqslant n \leqslant 10 \text {." }$$ (ii) Prove that the following statement is always true.
"The difference between the cube and the square of an odd number is even."
For example \(5 ^ { 3 } - 5 ^ { 2 } = 100\) is even.
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