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.
63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.