Let three real numbers $a,b,c$ be in arithmetic progression and $a+1,b,c+3$ be in geometric progression. If $a10$ and the arithmetic mean of $a,b$ and $c$ is $8$ , then the cube of the geometric mean of $a, b$ and $c$ is [JEE Main 2024, 4 Apr (Shift 2)]

Question

Let three real numbers $a,b,c$ be in arithmetic progression and $a+1,b,c+3$ be in geometric progression. If $a>10$ and the arithmetic mean of $a,b$ and $c$ is $8$ , then the cube of the geometric mean of $a, b$ and $c$ is [JEE Main 2024, 4 Apr (Shift 2)]

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Let three real numbers \(a,b,c\) be in arithmetic progression and \(a+1,b,c+3\) be in geometric progression. If \(a>10\)…

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