Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which is the first term.
In this problem:
- 64 teams were invited, thus .
- After each round, half the teams are eliminated, thus .
The <u>number of teams after 3 rounds</u> is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
After 3 rounds, 8 teams are left.
A similar problem is given at brainly.com/question/25317689
Step-by-step explanation:
13.8% = 0.138 in decimal form.
Percent means 'per 100'. So, 13.8% means 13.8 per 100 or simply 13.8/100.
If you divide 13.8 by 100, you'll get 0.138 (a decimal number). Read more below on this webpage.
As you can see, to convert from percent to decimal just divide the percent value (13.8) by 100, and remove the "%" sign.
D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.