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 Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 100 questions covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series, matched to the Edexcel A Level Maths (9MA0) 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.