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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 7
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A sequence a1,a2,a3,… a_1, a_2, a_3, \dots\,a1​,a2​,a3​,… is defined by

a1=15an+1=an+d,n≥1 \begin{aligned}a_1 &= 15 \\a_{n+1} &= a_n + d, \quad n \geq 1\end{aligned} a1​an+1​​=15=an​+d,n≥1​

Given a4=6a_4 = 6a4​=6

a.

Find the value of ddd.

[3]
b.

Find an expression for an a_n\,an​ in terms of nnn.

[2]
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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