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Common Difference

If the number...

Question

If the numbers x-2, 4x-1 and 5x+2 are in AP, find the value of x.

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Solution

x-2, 4x-1 and 5x+2 are in AP. Therefore,
$2 (4 x - 1) = x - 2 + 5 x + 2$
$8 x - 6 x = 2$
$2 x = 2$
$x = 1$

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