The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
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It is a geometric progression with common ratio 0.5
15. It's a Geometric Progression with a Common Ratio of 1/5 (or 0.2).
Divide any term, except the first, by the term before it.
In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant. That is, Arithmetic progression U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1) + d = U(1) + (n-1)*d Geometric progression U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1)*r = U(1)*r^(n-1).
Not sure about this question. But, a geometric sequence is a sequence of numbers such that the ratio of any two consecutive numbers is a constant, known as the "common ratio". A geometric sequence consists of a set of numbers of the form a, ar, ar2, ar3, ... arn, ... where r is the common ratio.