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1.7 D: Sequences and series

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Question 17

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

u1=3,u2=5un=un−1+un−2,n≥3 \begin{aligned}u_1 &= 3, u_2 = 5 \\u_n &= u_{n-1} + u_{n-2}, \quad n \geq 3\end{aligned} u1​un​​=3,u2​=5=un−1​+un−2​,n≥3​

Find u3,u4 u_3, u_4\,u3​,u4​ and u5u_5u5​.

[3]

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