To determine the ant population after 5 weeks, we can observe the pattern of growth from the initial data:
- After 1 week: 10 ants
- After 2 weeks: 100 ants
- After 3 weeks: 1000 ants
It appears that the ant population is increasing by a factor of 10 each week:
- From week 1 to week 2: \(10 \times 10 = 100\)
- From week 2 to week 3: \(100 \times 10 = 1000\)
Following this pattern, we can calculate the populations for the subsequent weeks:
- After 4 weeks: \(1000 \times 10 = 10,000\)
- After 5 weeks: \(10,000 \times 10 = 100,000\)
Thus, after 5 weeks, there would be 100,000 ants.