0580/12 May/Jun 2022, Question 15: Pattern Sequences and Special Sequences
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
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The question, in short
A sequence has nth term n² + 12. Find its first three terms, then decide whether 5196 belongs to the sequence and justify the decision.
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Part (a) · 2 marks
Work out the first three terms by substituting n = 1, 2 and 3 into n² + 12.
- 11² + 12 = 13, 2² + 12 = 16, 3² + 12 = 21
- 213, 16, 21
Answer13, 16, 21
Part (b) · 2 marks
Decide whether 5196 is a term of the sequence and give a reason for the decision.
- 1n² + 12 = 5196, so n² = 5184
- 2n = √5184 = 72, a whole number
- 3Yes, because n² + 12 = 5196 gives n = 72
AnswerYes, because n² + 12 = 5196 gives n = 72
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Also searched as: 0580/12/M/J/22 · 0580_s22_qp_12 · 0580 s22 12 · question 15.
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