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3.4 Sequences and Series (A-level only)

3.4 Sequences and Series (A-level only)

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Question 4
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A sequence u1,u2,u3,… u_1, u_2, u_3, \dots\,u1​,u2​,u3​,… is defined by

u1=8un+1=un+k,n≥1 \begin{aligned}u_1 &= 8 \\u_{n+1} &= u_n + k, \quad n \geq 1\end{aligned} u1​un+1​​=8=un​+k,n≥1​

Given u5=32u_5 = 32u5​=32

a.

Find the value of kkk.

[3]
b.

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

[2]
Markscheme

3.4 Sequences and Series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Sequences and Series (A-level only)

231 exam-style questions on WJEC A Level Maths 3.4 Sequences and Series (A-level only), covering 3.4.1 Sequences and Series (A-level only), 3.4.2 Sequences and Series (A-level only), 3.4.3 Sequences and Series (A-level only), 3.4.4 Sequences and Series (A-level only), 3.4.5 Sequences and Series (A-level only), 3.4.6 Sequences and Series (A-level only), and 3.4.7 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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