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A-LevelMathematicsSeries9709/12 · Feb/Mar 2016 · Q35 Marks

The 12th term of an arithmetic progression is 17 and the sum of the first 31 terms is 1023. Find the 31st term.

The 12th term of an arithmetic progression is 17 and the sum of the first 31 terms is 1023. Find the 31st term.[5]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2016). The mark or mark type is shown in brackets.

[B1] a+11d=17
[B1] 31/2 (2a+30d) = 1023
[M1] Solve simultaneous equations (At least one correct)
[A1] d=4, a=-27
[A1] 31st term = 93

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About this question

Topic: Series, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, Feb/Mar 2016 Paper 1 Variant 2, question 3.

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