The men's U. S. Open tennis tournament is held annually in Flushing Meadow in New York City. In the first round of the tournament, 64 matches are played. In each successive round, the number of matches played decreases by one half. Find a rule for the number of matches played in the nth round. For what values of n does your rule make sense?

8121 because

130,000 divided by 16 is 8121

0.6

39mph

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for