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1.7.4 Arithmetic sequences and series (A-level only)

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Question 17

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]

1.7.4 Arithmetic sequences and series (A-level only) Questions

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  3. /1.7.4 Arithmetic sequences and series (A-level only)