Question

What is the common difference of the arithmetic sequence 7/4, 3/4, −1/4, −5/4,…
?(1 point)
Responses

d=−1

d=−4

d=1

d=4

Answer 1

To find the common difference \( d \) of the arithmetic sequence, you can subtract the first term from the second term.

For the sequence \( 7/4, 3/4, -1/4, -5/4, \ldots \):

1. Calculate the difference between the first and second terms:
\[
d = 3/4 - 7/4 = -4/4 = -1
\]

2. You can also check the difference between the second and third terms:
\[
d = -1/4 - 3/4 = -4/4 = -1
\]

3. Finally, check the difference between the third and fourth terms:
\[
d = -5/4 - (-1/4) = -5/4 + 1/4 = -4/4 = -1
\]

Since the common difference \( d \) is consistently \(-1\), the answer is:

**d = −1**