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1.4 Sequences and Series

1.4 Sequences and Series

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Question 102

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

1.4 Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /1.4 Sequences and Series

308 exam-style questions on OCR A Level Maths 1.4 Sequences and Series, covering 1.4.1 Binomial expansion for positive integer n, 1.4.2 Link to binomial probabilities, 1.4.3 Binomial expansion for rational n (A-level only), 1.4.4 Validity of the expansion (A-level only), 1.4.5 Sequences (A-level only), 1.4.6 Increasing, decreasing and periodic sequences (A-level only), 1.4.7 Sigma notation (A-level only), 1.4.8 Arithmetic sequences and series (A-level only), 1.4.9 Geometric sequences and series (A-level only), 1.4.10 Sum to infinity of a geometric series (A-level only), and 1.4.11 Modelling with 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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