Final answer:
The common ratio of the given geometric sequence is 0.02.
Step-by-step explanation:
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. To find the common ratio of the geometric sequence .7, 35, 175, ..., we can divide any term by the previous term. Let's divide 35 by .7:
.7 ÷ 35 = 0.02
So, the common ratio of the given geometric sequence is 0.02.