This is the Important question based on Arithmetic progression Chapter of R.S Aggarwal book for ICSE & CBSE

Board.

Here the Some Terms of AP is given and you have to Find the value of x.

This is the Question Number 12 Exercise 11 A of RS Aggarwal Solution.

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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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Given: (5x + 2), (4x – 1) and (x + 2) are terms in AP.

So,

d = (4x – 1) – (5x + 2) = (x + 2) – (4x – 1)

2(4x – 1) = (x + 2) + (5x + 2)

8x – 2 = 6x + 2 + 2

8x – 2 = 6x + 4

8x – 6x = 4 + 2

or x = 3

The value of x is 3.