The daily volume of water lost from a reservoir through evaporation, measured in cubic metres, is modelled as an arithmetic series. On the first day of a study, the volume lost is 12.512.512.5 m3^33. Each subsequent day, the daily loss increases by 1.51.51.5 m3^33. On the final day of the study, the daily loss is recorded as 565656 m3^33.
Find
the total number of days for which the study was conducted,
the total volume of water lost from the reservoir over the entire duration of the study.
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.