Question

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?

Answer 1

5

Explanation:

32 = 1024((1/2)^n

(1/2)^n = 32/1024 = 1/32

(1/2)^n = (1/2)^5

Answer 2

The value of N is 32. You can either divide 1024 by 2 (or by half) 5 times, you will get 32. Conversely, if you multiply 32 by 2 5 times, essentially doubling it each time, you will get 1024.