In a singing competition, there are
150 participants. At the end of each
round, 40% of the participants are
eliminated. How many participants
are left after n rounds?

Let n be the number of rounds. Lets look at n=1 which is round one. Therefore if 40% of the contestants are eliminated then we can write an expression of the number of contestants eliminated:

[tex]=150\cdot{0.4}[/tex]

For round two, n=2:

[tex]=150\cdot{0.4)\cdot{0.4}=150\cdot{0.4^2}[/tex]

Therefore for the n number of rounds:

[tex]=150\cdot{0.4^n}[/tex]

In a singing competition, there are 150 participants. At the end of each round, 40% of the participants are eliminated. How many participants are left after n rounds?

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In a singing competition, there are
150 participants. At the end of each
round, 40% of the participants are
eliminated. How many participants
are left after n rounds?