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.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.