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Home » But wait: the cross product must be perpendicular to \(\mathbfa\). Check: - Baxtercollege

But wait: the cross product must be perpendicular to \(\mathbfa\). Check: - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Second + Fourth = $(a + d) + (a + 3d) = 2a + 4d = 10$
So both expressions are $2a + 4d = 14$ and $2a + 4d = 10$ â contradi...
Wait â this suggests a mistake in the problem statement or in our in...
Letâs assume the sequence is symmetric: $a - 2d, a - d, a, a + d, a...
First + Fifth = $a - 2d + a + 2d = 2a = 14 \Rightarrow a = 7$
Second + Fourth = $a - d + a + d = 2a = 10 \Rightarrow a = 5$
Contradiction again.
So the only consistent way is to define the sequence as:
a, a + d, a + 2d, a + 3d, a + 4d
So again: $2a + 4d = 14$ and $2a + 4d = 10$ â contradiction.

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