Question

Which of these sequences are linear?

A.) 6, 11, 16, 21
B.) 1, 3, 9, 27
C.) 7, 4, 1, -2
D.) 0.5, 0, -0.5, -1

Answer 1

The linear sequences are A and D.

Step-by-step explanation:

A sequence is called linear if there is a constant difference between the terms. Let's analyze the given sequences:

1. A.) 6, 11, 16, 21: The difference between each term is 5, so this sequence is linear.
2. B.) 1, 3, 9, 27: The difference between each term is not constant, so this sequence is not linear.
3. C.) 7, 4, 1, -2: The difference between each term is not constant, so this sequence is not linear.
4. D.) 0.5, 0, -0.5, -1: The difference between each term is -0.5, so this sequence is linear.

Therefore, the linear sequences are A and D.