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UKMT Junior Mathematical Olympiad, 2021

Algebra Difficulty 2.0 Junior Prove it United Kingdom

In the first week after Bill's birthday, his uncle gave him some money for his new piggy bank. Every week after that, Bill put £2 into his piggy bank. By the end of the ninth week after his birthday, Bill had trebled the amount his uncle gave him. How much, in pounds, did Bill have in total at the end of the ninth week?

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