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in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remain. If there were 1,024 contestants at the start of the competition, what
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Aug 22, 2017
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in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remain. If there were 1,024 contestants at the start of the competition, what is the value of n?
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Mariya Steksova
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Here, first tern is 1024, common ratio = 1/2 and last term = 32
32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5
Therefore, n = 5
Francesco Donzello
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Aug 25, 2017
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Francesco Donzello
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