Hello,
First of all, sorry if my English is bad,
that because i am not from an English-speaking country.
But, i think you could understand what i say, because mathematics is universal. :smile:
Wow!, but
what if they laid eggs
not just once?
I have found out that there is a pattern if its
not just once.
If there is no death, The population after every birth year (every 25 year) tend to be a 4 to the power of the birthyear (4^n). (25 years= 1 Birth Year)
evidence:
Code:
Population
Birth Year 0 : 1 = 1
Birth Year 1 : 1 + 1x3 = 4
Birth Year 2 : 1 + 1x3 + 3 + 3x3 = 16
and so on, it continues and always creating the exact number of generation that incredibly making every birth year is a power from 4 (4^n)
why does this happening?
because it is does not the same as the case of dividing bacteria.
First, in this case the original(the mother) still exists as the new generation(the child) born, and does not divide.
So, the population is not a sequence of 1,3,9,27
Second, in this case the new generation also can create their next generation and the mother still can create a new generation, if they dont laid eggs just once, but they laid eggs until their death.
So, the population is not a sequence of 1,4,13,
but there is an exception for total population after the 4th birth year. (because the 1st generation died and doesnt laid eggs anymore)
So, the total population is less than 4^n
the solution is reducing 4^n by the death and imagining the actual generation sequencing after the mother is dead
so, im curious about it and start working on it on my notebook
it is a long doodling in my notebook until i find the solution function
4^n - (4^(n-3)) - (3(4^(n-4))(n-4)) = Total population for n>3
4^n = Total population for n<4
so that were the formulas for the total population if it always laid eggs until their death
Just curious about it, Thank You
