Given the arithmetic sequence 32,12,−12,−32, . . .

Question

, 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, we subtract the first term from the second term.

The first term \( a_1 = 32 \) and the second term \( a_2 = 12 \).

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

\[ d = a_2 - a_1 = 12 - 32 = -20 \]

Thus, the common difference of the arithmetic sequence is \( d = -20 \).