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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 9

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

u1=cun=2un−1−5,n≥2 \begin{aligned}u_1 &= c \\u_n &= 2u_{n-1} - 5, \quad n \geq 2\end{aligned} u1​un​​=c=2un−1​−5,n≥2​
a.

Find an expression for u2 u_2\,u2​ in terms of ccc.

[1]
b.

Show that u3=4c−15u_3 = 4c - 15u3​=4c−15.

[2]
c.

Find ∑r=14ur\sum_{r=1}^4 u_r∑r=14​ur​ in terms of ccc.

[3]
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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