Awrestling tournament begins with 128 competitors. in the first round, each competitor has 1 match against another wrestler. the winner of each match moves on to the next round until there is a winner. write a sequence in which the terms represent the number of players still in the tournament at the end of each round. describe the sequence? how many rounds are in the tournament?

7 rounds were played.

Step-by-step explanation:

A wrestling tournament begins with 128 competitors. In every round competitor has 1 match against another wrestler and winner moves to the next round. We have to construct a sequence representing all rounds of this tournament.

In first round total matches played = 128/2 = 64

In second round number of matches played = 64/2 = 32

In third round matches played = 32/2 = 16

Similarly all the rounds were played.

Now we get the sequence as 64, 32, 16, 8, 4, 2, 1

This sequence is a geometric sequence having first term 64

Common factor = 32/64 = 1/2

Number of terms = 7

Explicit rule

Total seven rounds were played.