an etomologist studying the reproductive patterns of cockroach in an unfavourable env. found that half the?

Question

cocroach in any generation failed to reproduce but managed to survive for ten generations while the other half, managed to reproduce doble their no. but failed to survive after that . if teh total population immediately after the 7th generation cockroaches were produced was 8000 . what was the population of the first generation ?

Answer 1

It was just 8000.
At each Generation beginning: 8000
During each generation: 8,000 x 2 = 16,000
At end of generation: 16,000 / 2 = 8,000