Question
Question What is the common difference in the following arithmetic sequence? 3/4 , 6/4 , 9/4 , . . . (1 point) The common difference in the arithmetic sequence is
Answers
GPT-4o mini
To find the common difference in an arithmetic sequence, we subtract any term from the term that follows it.
In this case, let's calculate the common difference between the first two terms:
1. Second term: \( \frac{6}{4} \)
2. First term: \( \frac{3}{4} \)
Common difference \( d \) is calculated as:
\[
d = \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4}
\]
So, the common difference in the arithmetic sequence is \( \frac{3}{4} \).
In this case, let's calculate the common difference between the first two terms:
1. Second term: \( \frac{6}{4} \)
2. First term: \( \frac{3}{4} \)
Common difference \( d \) is calculated as:
\[
d = \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4}
\]
So, the common difference in the arithmetic sequence is \( \frac{3}{4} \).