Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2,7,12,...
To determine if the sequence is arithmetic or geometric, we need to calculate the differences between consecutive terms.
The difference between the second term (7) and the first term (2) is 7 - 2 = 5.
The difference between the third term (12) and the second term (7) is 12 - 7 = 5.
Since the difference between consecutive terms is the same (5), the sequence is arithmetic.
The common difference is 5.