Question
What is the common difference in the arithmetic sequence 50, 43, 36?
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.
For the given sequence \(50, 43, 36\):
1. The difference between the second term (43) and the first term (50) is:
\[
43 - 50 = -7
\]
2. The difference between the third term (36) and the second term (43) is:
\[
36 - 43 = -7
\]
Since both differences are the same, the common difference of the arithmetic sequence is \(-7\).
For the given sequence \(50, 43, 36\):
1. The difference between the second term (43) and the first term (50) is:
\[
43 - 50 = -7
\]
2. The difference between the third term (36) and the second term (43) is:
\[
36 - 43 = -7
\]
Since both differences are the same, the common difference of the arithmetic sequence is \(-7\).