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1.6 Sequences and Series

1.6 Sequences and Series

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Question 186

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]
Markscheme

1.6 Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /1.6 Sequences and Series

308 exam-style questions on OCR (MEI) A Level Maths 1.6 Sequences and Series, covering 1.6.1 Binomial expansion for positive integer n, 1.6.2 Factorial and combinations notation, 1.6.3 Binomial expansion for rational n (A-level only), 1.6.4 Binomial expansion of (a + bx)^n via factoring (A-level only), 1.6.5 Binomial approximating polynomials (A-level only), 1.6.6 What a sequence is; finite and infinite (A-level only), 1.6.7 Generate a sequence by formula or recurrence (A-level only), 1.6.8 A series as a sum of terms (A-level only), 1.6.9 Sigma notation (A-level only), 1.6.10 Increasing, decreasing and periodic sequences (A-level only), 1.6.11 Convergent and divergent sequences (A-level only), 1.6.12 Arithmetic sequences and series (A-level only), 1.6.13 Standard formulae for arithmetic series (A-level only), 1.6.14 Geometric sequences and series (A-level only), 1.6.15 Standard formulae for geometric series (A-level only), 1.6.16 Sum to infinity of a geometric series (A-level only), and 1.6.17 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank