Writing expressions for consecutive integers Revision Card

AI generatedAlgebraKey Stage 3

Keep all integers in terms of one integer variable.

State that the variable represents an integer when proving integer properties.
Use algebra to cover every permitted value. Factor out the divisor or 2 when helpful.
One counterexample disproves a universal statement; several examples do not prove it.

Example 1

The first of 3 consecutive integers is . Write all of them.

Consecutive integers differ by 1, not by

The first of 4 consecutive integers is . Write all of them.

Consecutive integers differ by 1, not by

Question 1

The first of 5 consecutive integers is . Write all of them.

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Consecutive integers differ by 1, not by

Question 2

The first of 6 consecutive integers is . Write all of them.

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Consecutive integers differ by 1, not by

Question 3

The first of 3 consecutive integers is . Write all of them.

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Consecutive integers differ by 1, not by

Question 4

The first of 4 consecutive integers is . Write all of them.

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Consecutive integers differ by 1, not by

Question 5

The first of 5 consecutive integers is . Write all of them.

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Consecutive integers differ by 1, not by