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1.7 D: Sequences and series

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Question 208

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]

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank