An Important question based on Arithmetic progression Chapter of R.S Aggarwal book for ICSE & CBSE Board.
Here you have to find the value of x with the help of given three Constructive forms of an AP.
This is the Question Number 1 Exercise 11 B of RS Aggarwal Solution.
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Find the value of x for which (x + 2), 2x, (2x + 3) are three consecutive terms of an AP.
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Given
(x + 2), 2x, (2x + 3) are three consecutive terms of an AP.
Therefore
2x – (x + 2) = (2x + 3) – 2x
2x – x – 2 = 2x + 3 – 2x
x – 2 = 3
x = 2 + 3 = 5
The value of x is 5.