Answer:
192 sponsors
Explanation:
If Scott started by asking 3 friends to sponsor him, and each of those friends asked three friends to sponsor him on the second week, and this pattern continued for four weeks, you can calculate the total number of sponsors he would have on the 4th week as follows:
Week 1: Scott has 3 sponsors.
Week 2: Each of the 3 sponsors from Week 1 asks 3 friends, so there are 3 x 3 = 9 new sponsors. In total, there are 3 (from Week 1) + 9 (from Week 2) = 12 sponsors.
Week 3: Each of the 12 sponsors from Week 2 asks 3 friends, so there are 12 x 3 = 36 new sponsors. In total, there are 12 (from Week 2) + 36 (from Week 3) = 48 sponsors.
Week 4: Each of the 48 sponsors from Week 3 asks 3 friends, so there are 48 x 3 = 144 new sponsors. In total, there are 48 (from Week 3) + 144 (from Week 4) = 192 sponsors.
So, on the 4th week, Scott would have a total of 192 sponsors.