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1.4 Sequences and Series

1.4 Sequences and Series

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Question 241

An offshore wind farm project is planned to increase its annual energy production capacity over a 16-year period.

  • In year 1, the farm's annual energy production is predicted to be 150015001500 GWh.
  • In year 16, its annual energy production is predicted to be 450045004500 GWh.

Model A assumes that the annual energy production will increase by the same fixed amount each year.

a.

According to model A, determine the farm's predicted annual energy production in year 2.

[2]
b.

Model B assumes that the annual energy production will increase by the same percentage each year.

According to model B, determine the farm's predicted annual energy production in year 2. Give your answer to the nearest GWh.

[3]
c.

Calculate the difference between the total energy predicted to be generated from year 1 to year 16 inclusive under the two models. Give your answer to the nearest 10 GWh.

[4]
Markscheme

1.4 Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /1.4 Sequences and Series

308 exam-style questions on OCR A Level Maths 1.4 Sequences and Series, covering 1.4.1 Binomial expansion for positive integer n, 1.4.2 Link to binomial probabilities, 1.4.3 Binomial expansion for rational n (A-level only), 1.4.4 Validity of the expansion (A-level only), 1.4.5 Sequences (A-level only), 1.4.6 Increasing, decreasing and periodic sequences (A-level only), 1.4.7 Sigma notation (A-level only), 1.4.8 Arithmetic sequences and series (A-level only), 1.4.9 Geometric sequences and series (A-level only), 1.4.10 Sum to infinity of a geometric series (A-level only), and 1.4.11 Modelling with sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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