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O-LevelAdditional MathematicsSeries4037/12 · Oct/Nov 2020 · Q46 Marks

The 7th and 10th terms of an arithmetic progression are 158 and 149 respectively.

(a)Find the common difference and the first term of the progression.[3]
(b)Find the least number of terms of the progression for their sum to be negative.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

B1 For both equations, may be implied by a correct a and d
B1 d = -3,
B1 a=176
M1 For correct attempt at sum formula with their a and their d,
A1 355/3 or 118.3 oe
A1 119

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About this question

Topic: Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2020 Paper 1 Variant 2, question 4.

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