Question

question 4 of 10
in a geometric sequence, the ______ between consecutive terms is constant.

Explanation:

Step1: Recall Geometric Sequence Definition

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio (\(r\)). So, the relationship between consecutive terms (i.e., the operation that gives a constant when comparing consecutive terms) is multiplication, and the constant result of that multiplication is the common ratio. In other words, if we have a geometric sequence \(a_1, a_2, a_3, \dots\), then \(\frac{a_2}{a_1}=\frac{a_3}{a_2}=\dots = r\) (constant). So the "ratio" between consecutive terms is constant.

Answer:

ratio