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Sequences and Series

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Question 102

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

Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /Sequences and Series

326 exam-style questions on Edexcel A Level Maths Sequences and Series, covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series. Each one has a worked solution and a mark scheme showing where the marks go.

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