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Given the arithmetic sequence 3/2,1/2,−1/2,−3/2, . . .

, find the common difference.(1 point)

1 answer

To find the common difference in an arithmetic sequence, you subtract any term from the term that follows it.

In the given sequence:

  1. The first term \( a_1 = \frac{3}{2} \)
  2. The second term \( a_2 = \frac{1}{2} \)

The common difference \( d \) can be calculated as follows:

\[ d = a_2 - a_1 = \frac{1}{2} - \frac{3}{2} = \frac{1 - 3}{2} = \frac{-2}{2} = -1 \]

The common difference is \( -1 \).