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1.4.8 Arithmetic sequences and series (A-level only)

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Question 20

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]

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

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