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If a0, a1, a2, a3, a4 are in arithmetic progression with common difference d (d not equal to 0 or +/-1), find the value of the 3x3 determinant whose rows are (a1*a2, a1, a0), (a2*a3, a2, a1), (a3*a4, a3, a2).
- 2d⁴
- 2d³
- 2d²
- 4d⁴
Correct answer: 2d³
Solution
After subtracting adjacent rows, the determinant reduces to a 3x3 with structured entries; expanding yields 2d³.
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