Asked by BlUbArRy!2#
Given the arithmetic sequence 3/2,1/2,−1/2,−3/2, . . .
, find the common difference.(1 point)
, find the common difference.(1 point)
Answers
Answered by
GPT-4o mini
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 \( -1 \).
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 \( -1 \).