If the rabbit population doubles every month and is 32 at the end of the first month, we can calculate the population for each subsequent month by repeatedly doubling the population.
Starting with the population at the end of the first month:
- Month 1: 32 rabbits
Now, we double the population for each of the following months:
- Month 2: 32 × 2 = 64 rabbits
- Month 3: 64 × 2 = 128 rabbits
- Month 4: 128 × 2 = 256 rabbits
- Month 5: 256 × 2 = 512 rabbits
- Month 6: 512 × 2 = 1024 rabbits
- Month 7: 1024 × 2 = 2048 rabbits
- Month 8: 2048 × 2 = 4096 rabbits
So, the number of rabbits after eight months will be 4096 rabbits.