The number of handshakes that are exchanged if every person in a room shakes hands once
Chapter 6, Problem 33(choose chapter or problem)
The number of handshakes that are exchanged if every person in a room shakes hands once with every other person can be written as a sequence. Let an21 be the number of handshakes exchanged when there are n 2 1 persons in the room. If one more persons enters the room so that there are n persons in the room, that person shakes hands with n 2 1 persons, creating n 2 1 additional handshakes. a. Write a recursive formula for an. b. If a1 5 0, write the first 10 terms of the sequence. c. Write a formula for an in terms of n.
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