Question

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

Answer 1

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

First term = 65,536

$\texttt{Common ratio = }\frac{1}{2}$

Now we need to find which term is 1 in this GP.

N th term of GP is given by

             $t_n=ar^{n-1}$

Substituting

               $1=65536\times \left ( \frac{1}{2}\right )^{n-1}\\\\\frac{1}{65536}=\left ( \frac{1}{2}\right )^{n-1}\\\\2^{n-1}=65536\\\\2^{n-1}=2^{16}\\\\n=17$

Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.