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1.7 D: Sequences and series

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Question 36

The terms, unu_nun​, of a periodic sequence are defined by

u1=5andun+1=10un u_1 = 5 \quad \text{and} \quad u_{n+1} = \frac{10}{u_n} u1​=5andun+1​=un​10​
a.

Find u2u_2u2​, u3u_3u3​ and u4u_4u4​.

[2]
b.

State the period of the sequence.

[1]
c.

Find the value of ∑n=151un\sum_{n=1}^{51} u_n∑n=151​un​.

[3]
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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