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Home » Length = \( 2 \times 7.5 + 5 = 20 \). - Midis

Length = \( 2 \times 7.5 + 5 = 20 \). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Actually, the second and fourth terms: $(a - d) + (a + d) = 2a = 10 \Rightarrow a = 5$

📌 So from the first condition: first + fifth = $2a = 14 \Rightarrow a = 7$

📌 Contradiction. So both cannot be true unless we made a mistake.

📌 Letâs re-express the sequence as:

📌 a, \, a + d, \, a + 2d, \, a + 3d, \, a + 4d

📌 First + Fifth = $a + (a + 4d) = 2a + 4d = 14$

📌 Second + Fourth = $(a + d) + (a + 3d) = 2a + 4d = 10$

📌 So both expressions are $2a + 4d = 14$ and $2a + 4d = 10$ â contradiction.

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