A carbon sequestration plant is gradually scaling up its operations. On the first day of its new cycle, the plant captures 18 tonnes of carbon dioxide. Each subsequent day, the amount of carbon dioxide captured increases by 2.5 tonnes.
Determine an expression for the amount of carbon dioxide captured on the n n\,nth day of the cycle.
The plant has a daily operational target of at least 150.5 tonnes. Calculate the number of days required to reach this specific target for the first time.
An environmental analyst predicts that by the time the plant hits this target, the total amount of carbon dioxide sequestered during the cycle will exceed 4,500 tonnes. Determine, with a calculation, whether the analyst's prediction is correct.
Practise Edexcel A Level Maths 3.2 Arithmetic Series with exam-style questions for A Level Maths. 38 questions, 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.