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18M.2.AHL.TZ1.H_1

pestleMathematicsAAHLPaper 218M· sl-1-2-arithmetic-sequences-and-seriessource ↗

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 / solution

1471 + (n − 1)(−32) > 0      (M1)

n < 1471 32 + 1

n < 46.96…      (A1)

so 46 positive terms      A1

[3 marks]

Examiners’ report
[N/A]