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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 66

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

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 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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