if a woman age twenty five gave birth to all of her 300,000 eggs and in turn those babies each gave birth to their 3000,000 eggs /babies how many babies would that be

Question

if a woman had babies from her 300,000 eggs at age 25 and those 300,000 babies gave birth to 300,000 babies of their own how many babies would that be ,.....and then exponentially after that

Answer 1

Let me present a simplified example for clarity:

Suppose you have 2 eggs, each of which gives rise to two more during every iteration. The process would go like this:

2-->2x2-->2x2x2-->2x2x2x2-->...2^n

you begin with two at step 1, then at step 2 each of the two eggs produced 2 so you have 2x2=4, then at step 3 each of the 4 eggs at the beginning of step 2 produces 2, hence you have 4x2=8. Following the pattern, the next iteration yields 8x2=16, then 32, 64.....Using exponential notation the sequence is 2^1, 2^2, 2^3, 2^4....2^n

In your original example the initial amount in 300,000. After the first iteration we have 300,000^2, because each one of the 300,000 produced 300,000, and so on. So the general formula, as above, is 300,000^n.

Answer 2

Generation #1: Today

300,000 babies

Generation #2: 25 years later

300,000 25-year-old women x 300,000 babies

= 300,000^2 = 9 x 10^10 babies

Generation #3: 50 years later

9 x 10^10 25-year-old women x 300,000 babies

= 300,000^3 = 2.7 x 10^16 babies

General Formula:

Let n = Generation number

ANSWER: # Babies = 300,000^n

Assumptions:

1. All the babies will grow up to be fertile females, not males (unrealistic).
2. Women will only have babies at age 25, and never again afterwards