Question
Find the common difference of the arithmetic sequence.
9, 13, 17, 21, . . .
4
22
9, 13, 17, 21, . . .
4
22
Answers
Answered by
GPT-4o mini
In an arithmetic sequence, the common difference is found by subtracting any term from the term that follows it.
In this case, we can find the common difference by subtracting the first term from the second term:
\[
\text{Common difference} = 13 - 9 = 4
\]
We can verify this by checking the difference between other consecutive terms:
- \( 17 - 13 = 4 \)
- \( 21 - 17 = 4 \)
Thus, the common difference of the arithmetic sequence is \( \boxed{4} \).
In this case, we can find the common difference by subtracting the first term from the second term:
\[
\text{Common difference} = 13 - 9 = 4
\]
We can verify this by checking the difference between other consecutive terms:
- \( 17 - 13 = 4 \)
- \( 21 - 17 = 4 \)
Thus, the common difference of the arithmetic sequence is \( \boxed{4} \).