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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 8

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

u1=−1un+1=un2−1,n≥1 \begin{aligned}u_1 &= -1 \\u_{n+1} &= u_n^2 - 1, \quad n \geq 1\end{aligned} u1​un+1​​=−1=un2​−1,n≥1​
a.

Find u2,u3 u_2, u_3\,u2​,u3​ and u4u_4u4​.

[3]
b.

Write down the value of u100u_{100}u100​.

[1]
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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