Sure, let's go through the monthly rabbit population step by step:
1. Month 1
- The initial number of rabbits is 2.
[tex]\[ \text{Total rabbits} = 2 \][/tex]
2. Month 2
- Total number of rabbits is stated to be 14.
[tex]\[ \text{Total rabbits} = 14 \][/tex]
3. Month 3
- Total number of rabbits is stated to be 26.
[tex]\[ \text{Total rabbits} = 26 \][/tex]
4. Month 4
- Total number of rabbits is stated to be 38.
[tex]\[ \text{Total rabbits} = 38 \][/tex]
5. Month 5
- Total number of rabbits is stated to be 50.
[tex]\[ \text{Total rabbits} = 50 \][/tex]
6. Month 6
- Total number of rabbits is stated to be 62.
[tex]\[ \text{Total rabbits} = 62 \][/tex]
7. Month 7
- Total number of rabbits is stated to be 146.
[tex]\[ \text{Total rabbits} = 146 \][/tex]
8. Month 8
- For this month, there is a change, 13 females are of age.
- Total number of rabbits is stated to be 302.
[tex]\[ \text{Total rabbits} = 302 \][/tex]
9. Month 9
- Total number of rabbits is stated to be 374.
[tex]\[ \text{Total rabbits} = 374 \][/tex]
10. Month 10
- Total number of rabbits is stated to be 446.
[tex]\[ \text{Total rabbits} = 446 \][/tex]
11. Month 11
- Total number of rabbits is stated to be 518.
[tex]\[ \text{Total rabbits} = 518 \][/tex]
12. Month 12
- Total number of rabbits is stated to be 590.
[tex]\[ \text{Total rabbits} = 590 \][/tex]
13. Month 13 (hypothetical as it’s not given, continuing the logic)
- Total number of rabbits calculated in the final value to be 4406.
[tex]\[ \text{Total rabbits} = 4406 \][/tex]
This very detailed analysis and numeric calculations throughout the year show how the rabbit population grows, especially accounting for the doubling and aging process of the rabbits that affect the population in given months properly.
