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A-LevelMathematicsSeries9709/12 · Oct/Nov 2016 · Q810 Marks

How far will he travel on May 15th?

  1. (a)(i)How far will he travel on May 15th?[2]
  2. (a)(ii)On what date will he finish the event?[3]
  3. (b)(i)the first term of the progression,[4]
  4. (b)(ii)the sum to infinity of the progression.[1]

Mark scheme

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

  1. [M1] Use of nth term with a = 200, n = 14 or 15and d = +/- 5.
  2. [A1] = 130
  3. [M1] Use of Sn a=200 and d = +/- 5.
  4. [A1] 5n² - 405n + 6100 (= 0)
  5. [A1] → 20
  6. [M1 A1] ar², ar⁵ → r = ½ Both terms correct.
  7. [M1 A1] Use of Sn = 31.5 with a numeric r.
  8. [B1^] Sum to infinity = 16/½ = 32 for their a and r with |r|<1.

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 10 marks.
Source
A-Level Mathematics, Oct/Nov 2016 Paper 1 Variant 2, question 8.

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