Q. What kind of sequence is this? –372,–363,–351,–336,…
Identify Differences: Identify the differences between consecutive terms to determine the pattern.First difference: −363−(−372)=9Second difference: −351−(−363)=12Third difference: −336−(−351)=15
Check Pattern in Differences: Check if the differences form a pattern or sequence themselves.The differences between the terms are increasing by 3 each time (9, 12, 15...).
Determine Sequence Type: Determine the type of sequence based on the differences.Since the differences between terms are increasing by a constant amount, this suggests an arithmetic sequence in the differences, indicating that the original sequence is quadratic.