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1.6.7 Generate a sequence by formula or recurrence (A-level only)

1.6.7 Generate a sequence by formula or recurrence (A-level only)

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Question 10

A sequence x1,x2,x3,… x_1, x_2, x_3, \dots\,x1​,x2​,x3​,… is defined by

x1=2,x2=9xn=xn−1+xn−2,n≥3 \begin{aligned}x_1 &= 2, x_2 = 9 \\x_n &= x_{n-1} + x_{n-2}, \quad n \geq 3\end{aligned} x1​xn​​=2,x2​=9=xn−1​+xn−2​,n≥3​

Find x3,x4 x_3, x_4\,x3​,x4​ and x5x_5x5​.

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Markscheme

1.6.7 Generate a sequence by formula or recurrence (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.6.7 Generate a sequence by formula or recurrence (A-level only)

35 exam-style questions on OCR (MEI) A Level Maths 1.6.7 Generate a sequence by formula or recurrence (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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