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Sequences and Series

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Question 112

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]

Sequences and Series Questions

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

Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 156 questions covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series, 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.

Question bank