Question

the terms of a geometric sequence always increase.
a. true
b. false

Explanation:

A geometric sequence has the form \(a_n = a_1r^{n - 1}\), where \(a_1\) is the first term and \(r\) is the common ratio. If \(r = 1\), the terms are constant (e.g., \(2, 2, 2,\dots\)). If \(00\), the terms decrease (e.g., \(4, 2, 1, 0.5,\dots\)). If \(r<0\), terms alternate in sign (e.g., \(2, -2, 2, -2,\dots\)), so they don't always increase.

Answer:

B. False