When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickl
y. 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.
Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.
