Several friends are standing near the middle of a long line

Several friends are standing near the middle of a long line waiting to enter a stadium to hear a concert. The friends have the following order in line: Jacqueline. Rolando. Al, Pat. Dominique. Travis and Beatrice. where Jacqueline is ahead in line and Beatrice is behind. While waiting in the line. Pat gets a call from his friend Bill, and Bill excitedly tells Pat that he is the 6th person in line. Pat replies that he has no idea what place in line he is, since the line is so long he can\'t see the front of it. Let f be the function that, to each positive integer n, assigns the first letter in the first name of the nth person in line. Let us agree to say that Pat is in position k in line, since we have no idea what his exact position in line is. Answer the following questions. If a question does not make sense, enter Incorrect for that question. If a question makes sense, but you do not have enough information to answer it. enter Unknown for that question. After entering your answers, click the Save Answer button.

Solution

We do not know who is standing 7th in the line.

Hence, f(7) = Unknown

As Bill is 6th in the line,

f(6) = B

Now, Pat is in position k

Hence, f(k) = P

As Dominique is standing after Pat,

f(k+1) = D

Similarly,

f(k) +2 = P + 2

and f(k-1) = A