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.
326 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.