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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 9

A sequence u1,u2,u3,… u_1, u_2, u_3, \dots\,u1​,u2​,u3​,… is defined by

u1=4un+1=un+c,n≥1 \begin{aligned}u_1 &= 4 \\u_{n+1} &= u_n + c, \quad n \geq 1\end{aligned} u1​un+1​​=4=un​+c,n≥1​

Given u6=16u_6 = 16u6​=16

a.

Find the value of ccc.

[3]
b.

Find an expression for un u_n\,un​ in terms of nnn.

[2]
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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