The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an is the number of teams competing and n is the round. There are 16 teams remaining in round 4 and 4 teams in round 6.

The explicit rule for the geometric sequence is:

The geometric series is given by:

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first term and r be the common ratio.

The term of a geometric sequence is given by:

There are 16 teams remaining in round 4 and 4 teams in round 6.

Thus, we can write:

Dividing the two equations, we get,

Putting value of r in he equation we get:

Thus, the geometric sequence can be written as: