If you have 2 mice and they mate by the end of year how many will there be after each one another so on?

This is a classic example of exponential growth, but with a few caveats:

The Idealized Scenario

* Assumptions: If we assume ideal conditions (unlimited food, space, and no predators), mice can reproduce very quickly.

* Breeding Cycle: A female mouse can have a litter of 5-12 pups every 20-21 days.

* Maturity: Mice can become sexually mature in as little as 6 weeks.

Realistic Considerations

* Limited Resources: In reality, resources like food, space, and shelter are limited. This will slow down the population growth.

* Predators: Predators like cats, owls, and snakes will naturally control mouse populations.

* Disease: Diseases can also significantly impact mouse populations.

The Math (Simplified)

To illustrate the concept, let's use a simplified example:

* Start: 2 mice

* Assume: Each pair produces 10 offspring every 2 months.

* Year 1: 2 mice + 10 offspring = 12 mice

* Year 2: 12 mice + 60 offspring = 72 mice

* Year 3: 72 mice + 360 offspring = 432 mice

Important Note: This is a very basic model. In reality, the growth would be much more complex.

Conclusion

While mouse populations can grow rapidly under ideal conditions, factors like resource limitations, predators, and disease will keep their numbers in check in the real world.