Please help me solve this

Question

1. 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

1. The researcher decided that the population growth followed a geometric sequence. He wrote the explicit formula a_n = 1000(2)^{n – 1} to model the growth, and used this formula to predict the populations for years 6, 10, and 50.
2. Do you agree with the researcher's method of predicting the populations? Why or why not?

Answer 1

you can simply prove this formula for all values in the table. This is modeled as exponential growth with a base of 2 (which is correct based on the data given)