Tell whether the sequence is arithmetic. If it is, what is the common difference?
1, 1 1/6, 1 1/3, 1 1/2
a. yes; -1/6***
b. yes; 1/6
c. yes; 6
d. no
Huh? You want to subtract 1/6 each time to get to the next term?
I think you have the idea of common difference backwards.
Just help her out not insult her
The answer is no because 1 1/6 - 1/2 =1 1/3
To determine if a sequence is arithmetic, we need to check if there is a constant difference between each consecutive term. In this case, the sequence is:
1, 1 1/6, 1 1/3, 1 1/2
To find the common difference, we subtract each term from the previous one and observe if the results are the same:
1 - 1 = 0
1 1/6 - 1 = 1/6
1 1/3 - 1 1/6 = 1/6
1 1/2 - 1 1/3 = 1/6
Since the results are consistently 1/6, it confirms that the sequence is arithmetic. Therefore, the correct answer is:
a. yes; -1/6