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1.6 Sequences and Series

1.6 Sequences and Series

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Question 116

A commercial deep-sea mining operation estimates its annual extraction of rare earth minerals as follows:

  • In year 1, 125 tonnes were extracted.
  • In year 8, it is predicted that 1100 tonnes will be extracted.

Model P P\,P assumes that the mass of minerals extracted will increase by the same amount each year.

a.

Using model PPP, find the mass of minerals extracted in year 4. Give your answer to the nearest 10 tonnes.

[2]
b.

Model Q Q\,Q assumes that the mass of minerals extracted will increase by the same percentage each year.

Using model QQQ, find the mass of minerals extracted in year 2. Give your answer to the nearest 10 tonnes.

[2]
c.

Calculate, according to the two models, the difference between the total mass of minerals extracted from year 1 to year 8 inclusive. Give your answer to the nearest 10 tonnes.

[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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