Question

Identify the common difference in the sequence or state that it is not arithmetic.

9, 75, 3, 1...

a. 4

b. 2

c. 6

d. -4

Answer 1

The given sequence is not arithmetic as it does not have a consistent pattern.

Step-by-step explanation:

The given sequence is 9, 75, 3, 1... To determine if the sequence is arithmetic and find the common difference, we need to check if the sequence has a consistent pattern. If the difference between consecutive terms is the same, then the sequence is arithmetic.

9 - 75 = -66

75 - 3 = 72

3 - 1 = 2

As we can see, the differences between the consecutive terms are not the same. Hence, the given sequence is not arithmetic.