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1.6.16 Sum to infinity of a geometric series (A-level only)

1.6.16 Sum to infinity of a geometric series (A-level only)

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Question 9

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

1.6.16 Sum to infinity of a geometric series (A-level only) Questions

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  3. /1.6.16 Sum to infinity of a geometric series (A-level only)

16 exam-style questions on OCR (MEI) A Level Maths 1.6.16 Sum to infinity of a geometric series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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