Question

A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of

the tournament eliminates half the participants.
b. Use your model to determine how many participants remain after 10 rounds of play

Answer 1

Number of players left after 10 rounds = 64

Explanation:

This is an example of geometric progression,

First term = 65,536

`\texttt{Common ratio = }(1)/(2)`

Now we need to term of GP when 10 rounds of play is completed, that is eleventh term of GP.

N th term of GP is given by

`t_n=ar^(n-1)`

Substituting

`t_(11)=65536* \left ( (1)/(2)\right )^(11-1)\\\\t_(11)=65536* \left ( (1)/(2)\right )^(10)=64`

Number of players left after 10 rounds = 64