Is the sequence (a) = (0.4, 1.6, 6.4, 25.6,...) arithmetic, geometric, or neither? If arithmetic, identify the common difference, d. If the sequence is geometric, identify the common ratio, r.
In order to determine whether the sequence is arithmetic or geometric, we need to look at the differences between the terms. Let's calculate the differences between each term:
1.6 - 0.4 = 1.2
6.4 - 1.6 = 4.8
25.6 - 6.4 = 19.2
If the differences between the terms are the same, then the sequence is arithmetic. However, the differences are not the same in this case. Therefore, the sequence is neither arithmetic nor geometric.