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1.7 D: Sequences and series

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Question 187

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]

1.7 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