Why can insects adapt to pesticides quickly?
1 Answer
Evolution and short reproductive cycles.
Explanation:
Pesticides are a form of selection in the evolution of insects - not a "natural selection" but a selection pressure nonetheless.
If a pesticide is applied to say an crop of whatever and it kills off 99% of the infecting bugs, this is a success for the farmer in the short-term. However, that 1% of the bugs that survive have some trait that makes them immune to that particular pesticide. So, they reproduce and bingo! - you have a new generation of bugs that are immune to the pesticide and they breed like crazy and take over the fields.
Insects have short lifespans compared to other organisms, meaning the reproduce and die relatively quickly. For example, ladybugs (Harmonia axyridis) typically live only three months but females produce an average of 25 eggs per day (source).

