Quelpr
4 marksSequences

CAPE Pure Mathematics Unit 2 · May/June 2024 · Paper 2 · Question 4(b)(i)

The first 5 terms of a sequence are 4, 7/2, 10/6, 13/24, 16/120...

Write down an expression for the nᵗʰ term of the sequence.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)(i)Use the intermediate value theorem to prove that f(x) = 2x³ + x² + 9x - 5 has at least one root in the interval [0.2, 1].[3 marks]
  2. 4(a)(ii)Hence, use three iterations of the interval bisection method to estimate the root of f in the interval [0.2, 1].[5 marks]
  3. 4(b)(ii)Determine whether the sequence converges or diverges.[3 marks]
  4. 4(c)Calculate ∑(from r=0 to 27) r.[4 marks]
  5. 4(d)Use the sum of a series to calculate an equivalent fraction for the repeating decimal 0.2727272...[6 marks]

More practice: the rest of this paper · more Sequences questions · all CAPE Pure Mathematics Unit 2 past papers