Final answer:
The common ratio for the given sequence is determined by dividing any term by the previous term. Applying this to the first two terms will give the ratio, which should be consistent across the sequence.
Step-by-step explanation:
The common ratio of a geometric sequence can be found by dividing any term by the previous term. Looking at the given sequence 28.1617, 19.885, 14.0408, 9.9142, 7.0004, we can divide the second term by the first term:
r = 19.885 / 28.1617
Using a calculator for this division gives us the common ratio (r), which can then be used to find subsequent terms of the sequence. Calculate this for several pairs to ensure that the ratio is consistent throughout the sequence.