if ( x +2 ) (2x) (2x+3 ) are in arithmetic progression the value of x is
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The value of x is equal to 5.
Step-by-step explanation:
Given,
( x + 2), (2x) and (2x + 3) are in arithmetic progression.
Here, first term = ( x + 2), second term = 2x and third term = (2x + 3)
To find, the value of x = ?
We know that,
Common difference(d) = Second term - First term = Third term - Second term
∴ 2x - ( x + 2) = (2x + 3) - 2x
⇒ 2x - x - 2 = 2x + 3 - 2x
⇒ x - 2 = 3
⇒ x = 3 + 2 = 5
∴ The value of x = 5
Thus, the value of x is equal to 5.
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