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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 19

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

u1=3u_1 = 3u1​=3

un+1=un+cu_{n+1} = u_n + cun+1​=un​+c, n≥1 n \geq 1\,n≥1

where c c\,c is a constant.

It is given that u5=23u_5 = 23u5​=23.

a.

Find the value of ccc.

[2]
b.

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

[2]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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