Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths AQA
  5. Question bank

1.7.6 Sequences and series in modelling (A-level only)

MediumHard
12345678910111213141516171819202122
Question 19

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]

1.7.6 Sequences and series in modelling (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.6 Sequences and series in modelling (A-level only)