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Vikentia [17]
3 years ago
10

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

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

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.

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