Question

Determine whether each sequence is arithmetic. If so, identify the common difference.

Answer 1

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1   -1 + 2 = 1   1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25   25 - 7 = 18   18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6   6 * 3 = 18   18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3   (2 + 2 = 4)   3 + 4 = 7   (4 + 4 = 8)   7 + 8 = 15