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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 37

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

u1=pun=2un−1−3,n≥2 \begin{aligned}u_1 &= p \\u_n &= 2u_{n-1} - 3, \quad n \geq 2\end{aligned} u1​un​​=p=2un−1​−3,n≥2​
a.

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

[1]
b.

Show that u3=4p−9u_3 = 4p - 9u3​=4p−9.

[2]
c.

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

[3]
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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