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Question 13 of 18 in Sequences

Sequences

2 marks · Normal

Explain why the sequence 1, 2, 4, 7, 11, ... is not an arithmetic sequence.

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The difference between terms is not constant.

Also accept: The difference between terms keeps changing; in an arithmetic sequence, it should be the same.

Common mistakes: Just stating 'not arithmetic' with no reason.

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Marking points

B1 · 1 mark · States the difference between terms is not constant (or equivalent).

B2 · 1 mark · Identifies that in an arithmetic sequence, the difference between consecutive terms is always the same.

Worked solution

Find the differences:

The differences are not equal, so this is not an arithmetic sequence.

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