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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 28

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

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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