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1.6 Sequences and Series

1.6 Sequences and Series

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Question 240

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

1.6 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.

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