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1.6.17 Sequences and series in modelling (A-level only)

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Question 20

A high-tech vertical farming project identifies that:

  • In year 1, the total crop yield was 1800 metric tons.
  • In year 10, the predicted total crop yield is 9500 metric tons.

Model PPP assumes that the annual crop yield will increase by a constant amount each year.

a.

Using model PPP, find the predicted crop yield in year 5. Give your answer to the nearest 10 metric tons.

[3]
b.

Model QQQ assumes that the annual crop yield will increase by a constant percentage each year.

Using model QQQ, find the predicted crop yield in year 2. Give your answer to the nearest 10 metric tons.

[3]
c.

Calculate, according to the two models, the difference between the total predicted crop yield produced from year 1 to year 10 inclusive. Give your answer to the nearest 10 metric tons.

[4]

1.6.17 Sequences and series in modelling (A-level only) Questions

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