3. When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickly.
Estimated Wombat Population
Year
1
2
3
4
5
Wombats
1000
2000
4000
8000
16,000
The researcher decided that the population growth followed a geometric
sequence. He wrote the explicit formula an = 1000(2)n-1 to model the growth,
and used this formula to predict the populations for years 6, 10, and 50.
Do you agree with the researcher's method of predicting the populations? Why
or why not?