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Rajan@2021
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Find the value of x for which the numbers (5x + 2), (4x – 1) and (x + 2) are in AP.

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Sir please give me a detailed solution of this question in which we are to find for which value of X the numbers (5x + 2), (4x – 1) and (x + 2) are in AP.

RS Aggarwal, class 10, chapter 5B,  question no 2.

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  1. Given: (5x+2),(4x1)  and (x+2) are terms in AP.
    So,  d=(4x1)(5x+2)=(x+2)(4x1)
    2(4x1)=(x+2)+(5x+2)
    8x2=6x+2+2
    8x2=6x+4
    8x6x=4+2
    or  x=3
    The value of x is  3.

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