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Sequences and Series

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Question 147

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

Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /Sequences and Series

326 exam-style questions on Edexcel A Level Maths Sequences and Series, covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series. Each one has a worked solution and a mark scheme showing where the marks go.

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