daisy is studying an ant population, on the first day,there are 10 ansts. a week later, there are 100 ants. after the thired week there are 1000 ants. assuming the ant growth continues at this rate how many ants would there be after 5 weeks

Question

daisy is studying an ant population, on the first day,there are 10 ansts. a week later, there are 100 ants. after the thired week there are 1000 ants. assuming the ant growth continues at this rate how many ants would there be  after 5 weeks

GPT-4o mini · Answer

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.