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1.7 D: Sequences and series

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Question 242

A sequence a1,a2,a3,…a_1, a_2, a_3, \dotsa1​,a2​,a3​,… is defined by

an+1=6−an a_{n+1} = 6 - a_nan+1​=6−an​

where a1=2a_1 = 2a1​=2.

Find the value of

a.

(i) a2a_2a2​

(ii) a85a_{85}a85​

[3]
b.

∑n=1100(3an+2)\sum_{n=1}^{100} (3a_n + 2)∑n=1100​(3an​+2)

[3]

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) 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.

Question bank