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:

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 the of the geometric sequence and r be the common ration.

The term of geometric sequence is given by:

Dividing the two equations, we get,

the first term can be calculated as:

Thus, the required geometric sequence is

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.