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1.7 D: Sequences and series

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Question 15

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]

1.7 D: Sequences and series Questions

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

Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank