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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 60

A mining operation extracts gold from a specific site. The mass of gold extracted in the first month is aaa kg, and the mass extracted in each subsequent month is a constant fraction rrr of the mass extracted in the previous month.

Given that:

  • the total mass of gold extracted in the first three months is 747474 kg
  • the total mass of gold that could theoretically be extracted if mining continued indefinitely is 128128128 kg

find, for this operation,

a.

the common ratio, rrr,

[4]
b.

the mass extracted in the first month, aaa.

[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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