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3.4 Sequences and Series (A-level only)

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Question 34

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

3.4 Sequences and Series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Sequences and Series (A-level only)

231 exam-style questions on WJEC A Level Maths 3.4 Sequences and Series (A-level only), covering 3.4.1 Sequences and Series (A-level only), 3.4.2 Sequences and Series (A-level only), 3.4.3 Sequences and Series (A-level only), 3.4.4 Sequences and Series (A-level only), 3.4.5 Sequences and Series (A-level only), 3.4.6 Sequences and Series (A-level only), and 3.4.7 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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