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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 65

A precision mechanical system is designed such that the energy dissipated during each successive oscillation follows a geometric progression. Let the energy dissipated in the nnn-th oscillation be unu_nun​.

Given that:

  • the total energy dissipated over an infinite number of oscillations is 25 Joules
  • the cumulative energy dissipated during the first three oscillations is 23.4 Joules

find, for this sequence,

a.

the common ratio,

[5]
b.

the first term.

[2]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 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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