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1.6.13 Standard formulae for arithmetic series (A-level only)

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Question 33

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

A massive data archiving facility monitors the volume of data compressed each day. The daily volume of data compressed follows an arithmetic progression.

On the 5th day, 60 terabytes (TB) of data were compressed. The total volume of data compressed over the first 12 days was 801 TB.

a.

Find the volume of data compressed on the first day, aaa, and the daily increase in data volume, ddd.

[5]
b.

Determine the smallest number of days, nnn, required for the cumulative volume of data compressed to exceed 2000 TB.

[4]

1.6.13 Standard formulae for arithmetic series (A-level only) Questions

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