Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12,9,6,...
To determine if the sequence is arithmetic or geometric, we need to look at the differences between the terms.
12, 9, 6,...
The differences are:
9 - 12 = -3
6 - 9 = -3
Since the differences are constant (-3), the sequence is arithmetic.
To determine the common difference, we take any two consecutive terms and find the difference between them.
9 - 12 = -3
Therefore, the common difference is -3.