Questions 1. If you know the fifth term in an arithmetic sequence and the common difference, can you write a recursive formula for the sequence? Explain why or why not. 2. In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group. 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?