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A-LevelFurther MathematicsSummation of series9231/12 · May/June 2015 · Q14 Marks

Use the List of Formulae (MF10) to show that ∑_{r=1}^{13} (3r² – 5r + 1) and ∑_{r=0}^{9} (r³ – 1) have the same numerical value.

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [M1A1] 3 × 13×14×27 / 6 - 5 × 13×14 / 2 + 13 = 2015
  2. [M1A1] 9 × 10² / 2 - 10 = 2015 (Award M1 for subtracting 9 or 10 here.)

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About this question

Topic
Summation of series, A-Level Further Mathematics (syllabus 9231). Structured question, 4 marks.
Source
A-Level Further Mathematics, May/June 2015 Paper 1 Variant 2, question 1.

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