Reference no: EM132289221

Scientists at the Institute for Robotics have created a new type of robot that reproduces itself. The new robot takes two weeks to gather materials and then builds one new robot (exactly like itself) each week for three weeks. The first new robot is activated at the end of week 3, the second new robot is activated at the end of week 4, and the third new robot at the end of week 5. As soon as it is created, each new 3 robot goes thought the same cycle of gathering materials for two weeks and then creating three new robots, one per week. As so on for each of the new robots. At the end of the first five weeks of its existence each new robot ceases building new robots but retires and “lives” forever. The scientists plan to build only one robot with their own hands and then set it in motion. Create a spreadsheet model that will tell you how many robots there will be at the end of each week for 52 weeks.