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Leya [2.2K]
3 years ago
14

in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remai

n. If there were 1,024 contestants at the start of the competition, what is the value of n?
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
 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
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