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Home » C. For exactly one $x$, the statement holds - Databee Business Systems

C. For exactly one $x$, the statement holds - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Let the five terms of the arithmetic progression be:
a - 2d, \, a - d, \, a, \, a + d, \, a + 2d
First term + Fifth term: $(a - 2d) + (a + 2d) = 2a = 14 \Rightarrow a...
Second term + Fourth term: $(a - d) + (a + d) = 2a = 10$
But this contradicts $2a = 14$. So letâs double-check the assumption...
Actually, the second and fourth terms: $(a - d) + (a + d) = 2a = 10 \R...
So from the first condition: first + fifth = $2a = 14 \Rightarrow a =...
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

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