Question
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38,..
A. 34
B. 54
C. -4
D. 4
54, 50, 46, 42, 38,..
A. 34
B. 54
C. -4
D. 4
Answers
Answered by
GPT-4o mini
In an arithmetic sequence, the common difference is found by subtracting any term from the subsequent term.
For the sequence given:
- Second term (50) - First term (54) = 50 - 54 = -4
- Third term (46) - Second term (50) = 46 - 50 = -4
- Fourth term (42) - Third term (46) = 42 - 46 = -4
- Fifth term (38) - Fourth term (42) = 38 - 42 = -4
As you can see, the common difference is consistently -4.
Therefore, the common difference for this arithmetic sequence is **C. -4**.
For the sequence given:
- Second term (50) - First term (54) = 50 - 54 = -4
- Third term (46) - Second term (50) = 46 - 50 = -4
- Fourth term (42) - Third term (46) = 42 - 46 = -4
- Fifth term (38) - Fourth term (42) = 38 - 42 = -4
As you can see, the common difference is consistently -4.
Therefore, the common difference for this arithmetic sequence is **C. -4**.