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.