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Mathematics for IGCSE & O level - Sequences (Section 3 - No. 16)

What is the next term in the sequence: 1, 5, 12, 22,...?
35
36
37
38

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The sequence differences are 4, 7, 10, which increases by 3 each time. Therefore the next difference will be 13 and next term 22 + 13 = 35.

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