Exercise 1 Page 272

When looking at sequences, it is a good idea to check for both the possibility of an arithmetic sequence and a geometric sequence. To see if a sequence is arithmetic, we look at the differences between consecutive terms by subtracting the first term from the second, then the second from the third, and so on.

Since the differences are not the same, we do not have to continue the table. Now, let's look at the ratios between terms. For this we will divide the second term by the first, the third by the second, and so on as shown below. Since these terms do have a common ratio of about $1.6,$ to find the tenth term we can multiply the last term by $1.6,$ and then that answer by $1.6.$ Populations are countable numbers, not fractions, so we can round. Let's look at just the last part of the sequence and carry it out two more terms.

This means the rabbit population will be about $3435$ in the tenth year.