3.8 Modelling with Series
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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]

3.8 Modelling with Series Questions

Practise Edexcel A Level Maths 3.8 Modelling with Series with exam-style questions for A Level Maths. 24 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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3.8 Modelling with Series Questions

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