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Sequences and Series

Sequences and Series

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Question 101

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

Sequences and Series Questions

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

178 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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