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Date	May 2018	Marks available	3	Reference code	18M.2.AHL.TZ1.H_1
Level	Additional Higher Level	Paper	Paper 2	Time zone	Time zone 1
Command term	Calculate	Question number	H_1	Adapted from	N/A

Question

The 3rd term of an arithmetic sequence is 1407 and the 10th term is 1183.

Calculate the number of positive terms in the sequence.

Markscheme

1471 + (n − 1)(−32) > 0 (M1)

⇒ n < $\frac{{1471}}{{32}} + 1$

n < 46.96… (A1)

so 46 positive terms A1

[3 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1—Number and algebra » SL 1.2—Arithmetic sequences and series

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19M.1.SL.TZ1.S_10c:
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18N.1.SL.TZ0.S_3a:
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18M.2.SL.TZ1.S_7b:
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18M.2.SL.TZ1.S_7a:
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17M.1.AHL.TZ2.H_3b:
the value of $r$ ;
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19N.1.SL.TZ0.S_1a:
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22M.3.AHL.TZ1.1d:
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22M.1.SL.TZ1.8b.ii:
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22M.1.AHL.TZ1.10b.iii:
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22M.1.SL.TZ2.2b:
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22M.1.SL.TZ2.2c:
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19N.1.SL.TZ0.S_1c:
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19M.2.SL.TZ1.S_7b.ii:
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21M.1.SL.TZ1.3:
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19M.1.SL.TZ1.S_10d:
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21M.2.SL.TZ2.3b:
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