Question

Given the arithmetic sequence 3/2,1/2,−1/2,−3/2, . . .
, find the common difference.(1 point)
The common difference of the arithmetic sequence is d=

Answer 1

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

Using the first two terms:
\[
d = \frac{1}{2} - \frac{3}{2}
\]
Calculating this gives:
\[
d = \frac{1}{2} - \frac{3}{2} = \frac{1 - 3}{2} = \frac{-2}{2} = -1
\]

So, the common difference of the arithmetic sequence is \( d = -1 \).