Suppose a population of 250 crickets doubles in size every 3 months. how many crickets will there be after 2 years?

The equation that may be derived by the given conditions,
                                           at = a1 x 2^(t / 3)
where at is the population of crickets at any time t in months, a1 is the initial population (250). Substituting the values to the equation,
                                            at = (250) x 2^(2x12 / 3) = 64000

Thus, the population of crickets after 2 years is 64,000.