Is the sequence arithmetic? 15, 14.5, 14, 13.5, 13,....If so, give the common difference.
15 - 14.5 = 1.5
14.5 - 14 = 1.5
14 - 13.5 = ?
0.5?
Yes.
And thank you for catching my mistake! :-)
To determine if a sequence is arithmetic, we need to check if the difference between consecutive terms is constant.
Let's calculate the difference between consecutive terms in the given sequence:
14.5 - 15 = -0.5
14 - 14.5 = -0.5
13.5 - 14 = -0.5
13 - 13.5 = -0.5
The difference, -0.5, is constant between every pair of consecutive terms.
Therefore, the given sequence is arithmetic, and the common difference is -0.5.