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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 13

The first three terms of a geometric series are (3k+8)(3k+8)(3k+8), (k+8)(k+8)(k+8), and k k\,k respectively, where k k\,k is a positive constant.

a.

Show that k2−4k−32=0k^2 - 4k - 32 = 0k2−4k−32=0.

[4]
b.

Hence show that k=8k = 8k=8.

[2]
c.

Find the common ratio.

[2]
d.

Find the sum to infinity of the series.

[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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