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3.3.8 Sequences and series (A-level only)

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Question 22

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]

3.3.8 Sequences and series (A-level only) Questions

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