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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 6
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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

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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