I am Robert and you can meet once every month it gives birth to seven babies per litter. How many rabbits do you have after 12 months
To calculate the total number of rabbits you have after 12 months, we need to consider that each month, one rabbit gives birth to seven babies.
In the first month, you will have the original rabbit, which we'll call Robert. So after the first month, you will have 1 rabbit.
In the second month, Robert's babies will be born. Since Robert is the only rabbit, there will be 7 babies born. So after the second month, you will have 1 + 7 = 8 rabbits.
In the third month, each of the 7 babies will give birth to 7 more babies, resulting in 49 new rabbits (7 babies * 7 rabbits). So after the third month, you will have 8 + 49 = 57 rabbits.
This pattern continues for each subsequent month. Therefore, after 12 months, you will have 1 + 7 + 49 + 343 + 2401 + 16807 + 117649 + 823543 + 5764801 + 40353607 + 282475249 + 1977326743 = 3,715,891 rabbits.
So after 12 months, you will have 3,715,891 rabbits.
To calculate the total number of rabbits after 12 months, we need to consider the rate of reproduction. If a rabbit gives birth to 7 babies each month and you meet once every month, we can assume that the initial population is 1 rabbit.
Month 1:
Initial population: 1 rabbit
Babies born: 7 (1 rabbit x 7 babies)
Month 2:
Initial population: 1 rabbit + 7 babies born in the previous month = 8 rabbits
Babies born: 7 (8 rabbits x 7 babies)
Month 3:
Initial population: 8 rabbits + 7 babies born in the previous month = 15 rabbits
Babies born: 7 (15 rabbits x 7 babies)
Continuing this pattern, we can calculate the total number of rabbits after 12 months:
Month 12:
Initial population: 8,347,382,050 rabbits + 7 babies born in the previous month = 8,347,382,057 rabbits
Babies born: 7 (8,347,382,057 rabbits x 7 babies)
Therefore, after 12 months, you would have a total of 8,347,382,057 rabbits.