if x-2, 4x-1 and 5x+2 are in AP find the value of x
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Step-by-step explanation:
x-2, 4x-1 and 5x+2 are in AP
⇒ (4x-1) - (x-2) = (5x+2) - (4x-1) [Difference between two consecutive terms is same.]
⇒ 4x -1 - x + 2 = 5x + 2 - 4x + 1
⇒ 3x + 1 = x + 3
⇒ 3x - x = 3 - 1
⇒ 2x = 2
⇒ x = 1
Hence, the value of x is 1.
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