A commercial deep-sea mining operation estimates its annual extraction of rare earth minerals as follows:
Model P P\,P assumes that the mass of minerals extracted will increase by the same amount each year.
Using model PPP, find the mass of minerals extracted in year 4. Give your answer to the nearest 10 tonnes.
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.
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.
Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
