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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 14

An arithmetic series is given by

∑n=1150(bn+c)\sum_{n=11}^{50} (bn + c)∑n=1150​(bn+c)

where b b\,b and c c\,c are constants. The sum of the series is 2680.

a.

Show that 61b+2c=13461b + 2c = 13461b+2c=134.

[4]
b.

Given that the 21st term of the sequence un=bn+cu_n = bn + cun​=bn+c is 4 times its 3rd term, find the value of b b\,b and the value of ccc.

[4]
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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