A mining company is evaluating the output of a lithium reserve.
Model A assumes that the annual yield will decrease by the same fixed amount each year.
According to model A, determine the amount of lithium extracted in Year 2.
Model B assumes that the annual yield will decrease by the same percentage each year.
According to model B, determine the amount of lithium extracted in Year 2. Give your answer to the nearest tonne.
Calculate the difference between the total yield predicted from Year 1 to Year 16 inclusive under the two models. Give your answer to the nearest tonne.
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.