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3 marksSeries

CAPE Pure Mathematics Unit 2 · May/June 2005 · Paper 2 · Question 6(b)(ii)

Twelve hundred people visited an exhibition on its opening day. Thereafter, attendance fell each day by 4% of the number on the previous day.

Find the total number of visitors for the first n days.

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Other parts of this question

  1. 6(a)Find the values of x for which the determinant of the 3x3 matrix with rows [x, 1, 2], [1, x, 2], and [2, 1, x] is equal to 0.[10 marks]
  2. 6(b)(i)Obtain an expression for the number of visitors on the nth day.[2 marks]
  3. 6(b)(iii)The exhibition closed after 10 days. Determine how many people visited during the period for which it was opened.[3 marks]
  4. 6(b)(iv)If the exhibition had been kept opened indefinitely, what would be the maximum number of visitors?[2 marks]

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