Final answer:
To identify the level of difference in the sequence, consecutive terms are subtracted to find their differences, revealing varying levels of difference without a clear progression.
Step-by-step explanation:
The question involves identifying the level of difference in the given sequence. To find the level of difference, we calculate the difference between successive terms of the sequence. We start with the sequence 0, 12, 10, 0, -12, -20 and find the differences between consecutive terms.
• The first difference is 12 - 0 = 12.
• The second difference is 10 - 12 = -2.
• The third difference is 0 - 10 = -10.
• The fourth difference is -12 - 0 = -12.
• The final difference is -20 - (-12) = -8.
The differences between the terms are inconsistent and do not follow a clear linear or higher-order pattern. Therefore, the level of difference in this sequence varies and does not establish a clear arithmetic or geometric progression.