3.5 Sum to Infinity
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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]

3.5 Sum to Infinity Questions

Practise Edexcel A Level Maths 3.5 Sum to Infinity with exam-style questions for A Level Maths. 18 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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3.5 Sum to Infinity Questions

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