Final answer:
A linear sequence is a sequence in which the difference between any two consecutive terms is the same. Examples include a sequence with a positive common difference and a sequence with a negative common difference.
Step-by-step explanation:
A linear sequence is a sequence in which the difference between any two consecutive terms is the same. It can be represented by an equation of the form an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference.
An example of a linear sequence with a positive common difference is: 2, 5, 8, 11, 14, ... The common difference in this sequence is 3.
An example of a linear sequence with a negative common difference is: 10, 7, 4, 1, -2, ... The common difference in this sequence is -3.