Algebra-1

Question Analysis
This question is about identifying a non-arithmetic sequence with a decreasing trend where the differences between consecutive terms are increasing in magnitude. The main focus is on detecting that the differences are not constant.

Key Concept Explanation
A sequence is not arithmetic if the differences between consecutive terms are not the same. Even with a general decreasing trend, varying differences mean it’s not an arithmetic sequence.

Step-by-Step Solution
Calculate the differences between consecutive terms:
6 - 9 = -3
2 - 6 = -4
-3 - 2 = -5
The differences are -3, -4, -5, which are not constant. Thus, the sequence is not arithmetic.
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