Question

The men’s U.S open tennis court is held annually in Flushing Meadow New York City. In the first round of the tournament, 64 matches are played. In each successive round, the number of matches decreases by 1/2.

Make a rule for the number of matches played the nth round.

For what values of n does your rule make sense.

Find the number of matches played in the US open tennis tournament.

Answer 1

matches in nth round = 2^(7 - n)

total matches = 64 + 32 + ... + 1 = 2^7 - 1