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Mathematics, 17.10.2021 09:20 MK100

Celia is training to run a marathon. In the first week she runs 25 km and increases this distance by 10% each week. This situation may be modelled by the series 25 + 25(1.1) + 25(1.1)2 + … . She wishes to continue this pattern for 15 weeks. How far will she have run in total when she completes the 15th week? Express your answer to the nearest tenth of a kilometre.

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