Professor Livingstone loves to perform acts of kindness. He decides to conduct an experiment in which he performs an act of kind
ness for only two students. He then requests that these students perform an act of kindness for three new students every day. Each new student who receives an act of kindness is given instructions to pay it forward to three additional students every day. Assuming that each student is a recipient only once and everyone who has received an act of kindness continues to fulfill three acts of kindness each day, how long will it take for the entire student population of 6100 students to receive an act of kindness?
