Browse Algebraic proof

41 questions at your level

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Expressing generality — the language of proof

18 questions

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Prove that the sum of any three consecutive integers is a multiple of 3.
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nn is an integer.

(a) Write down an expression, in terms of nn, for any even number.

(b) Explain why 2n+12n + 1 is an odd number for every integer nn.
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Prove that the sum of any odd number and any even number is odd.
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Proving divisibility results

13 questions

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Prove that the sum of any three consecutive even numbers is a multiple of 6.
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Proofs with squares

14 questions

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Prove that (n+4)2−n2(n + 4)^2 - n^2 is a multiple of 8 for every integer nn.
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