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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 70

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

a.

the total number of days for which the study was conducted,

[3]
b.

the total volume of water lost from the reservoir over the entire duration of the study.

[2]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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