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1.7 D: Sequences and series

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Question 113

A mining company is evaluating the output of a lithium reserve.

  • In Year 1, the company extracts 4,500 tonnes of lithium.
  • In Year 16, due to depletion, the annual yield is predicted to drop to 1,500 tonnes.

Model A assumes that the annual yield will decrease by the same fixed amount each year.

a.

According to model A, determine the amount of lithium extracted in Year 2.

[2]
b.

Model B assumes that the annual yield will decrease by the same percentage each year.

According to model B, determine the amount of lithium extracted in Year 2. Give your answer to the nearest tonne.

[2]
c.

Calculate the difference between the total yield predicted from Year 1 to Year 16 inclusive under the two models. Give your answer to the nearest tonne.

[4]

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only), matched to the AQA A Level Maths (7357) 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.

Question bank