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1.7 D: Sequences and series

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Question 140

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

A fleet of autonomous delivery drones logs its flight hours each week. The number of flight hours logged in a given week follows an arithmetic progression.

  • In the 5th week, the fleet logged 2500 flight hours.
  • Over the first 12 weeks of operation, the total cumulative flight time recorded was 34500 hours.
a.

Find the number of flight hours logged in the first week, aaa, and the constant weekly increase in flight hours, ddd.

[5]
b.

Determine the smallest number of weeks, nnn, required for the cumulative flight time to exceed 1.5 million hours.

[5]

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