Find the value of x of an arithmetic progressions, Mathematics

Find the value of x if 2x + 1, x2 + x +1, 3x2 - 3x +3 are consecutive terms of an AP.

Ans:  a2 -a1 =  a3 -a2

⇒  x2 + x + 1-2x - 1 = 3x2 - 3x + 3- x2-x-1

x2 - x = 2x2 - 4x + 2

⇒  x2 - 3x + 2 = 0

⇒  (x -1) (x - 2) = 0

⇒  x = 1 or x = 2

 

Posted Date: 4/8/2013 5:24:19 AM | Location : United States







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