Question
What is the common difference for this arithmetic sequence?
37,52, 67,82,..
97
89
25
15
37,52, 67,82,..
97
89
25
15
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.
For the sequence provided (37, 52, 67, 82):
- The difference between the second term (52) and the first term (37) is:
\( 52 - 37 = 15 \)
- The difference between the third term (67) and the second term (52) is:
\( 67 - 52 = 15 \)
- The difference between the fourth term (82) and the third term (67) is:
\( 82 - 67 = 15 \)
Thus, the common difference is consistent throughout the sequence. Therefore, the common difference of the arithmetic sequence is **15**.
For the sequence provided (37, 52, 67, 82):
- The difference between the second term (52) and the first term (37) is:
\( 52 - 37 = 15 \)
- The difference between the third term (67) and the second term (52) is:
\( 67 - 52 = 15 \)
- The difference between the fourth term (82) and the third term (67) is:
\( 82 - 67 = 15 \)
Thus, the common difference is consistent throughout the sequence. Therefore, the common difference of the arithmetic sequence is **15**.