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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 117

An arithmetic sequence has first term aaa and common difference ddd.

The sum of the first 9 terms of the sequence is equal to the square of the sum of the first 3 terms.

a.

Show that a+4d=a2+2ad+d2a + 4d = a^2 + 2ad + d^2a+4d=a2+2ad+d2

[4]
b.

Given that the fifth term of the sequence is 9, find the smallest possible value of aaa.

[4]
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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