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

u1=5andun+1=10unu_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]

3.7 Recurrence Relations Questions

Practise Edexcel A Level Maths 3.7 Recurrence Relations with exam-style questions for A Level Maths. 36 questions, matched to the Edexcel A Level Maths (9MA0) 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.

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3.7 Recurrence Relations Questions

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