What is the common difference of the arithmetic sequence 7/4, 3/4, −1/4, −5/4,…

Question

Responses

d=−1

d=−4

d=1

d=4

Answer 1

To find the common difference of the arithmetic sequence, we subtract any term from the term that follows it.

Let's calculate the common difference using the first two terms:

First term: \( a_1 = \frac{7}{4} \)

Second term: \( a_2 = \frac{3}{4} \)

Common difference \( d \) is given by:

\[ d = a_2 - a_1 = \frac{3}{4} - \frac{7}{4} = \frac{3 - 7}{4} = \frac{-4}{4} = -1 \]

Thus, the common difference \( d \) is:

\[ d = -1 \]

The correct answer is \( d = -1 \).