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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 68

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

a1=qan=5an−1+3,n≥2 \begin{aligned}a_1 &= q \\a_n &= 5a_{n-1} + 3, \quad n \geq 2\end{aligned} a1​an​​=q=5an−1​+3,n≥2​
a.

Find an expression for a2 a_2\,a2​ in terms of qqq.

[1]
b.

Show that a3=25q+18a_3 = 25q + 18a3​=25q+18.

[2]
c.

Find ∑r=14ar\sum_{r=1}^4 a_r∑r=14​ar​ in terms of qqq.

[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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