1.

(X+1), 3x and(4x+2) are the first 3 terms of ap then x =?

Answer»

   

         \huge\underline{\underline { \bf \bigstar ANSWER \bigstar }}

Given ,

1st term = ( x + 1 )

2nd term = 3x

3rd term = ( 4x + 2 )

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→  2nd term - 1st term = 3x - ( x + 1 )

                                  = 3x - x - 1

                                  = 2X - 1

 

→  3rd term - 2nd term = 4x + 2 - 3x

                                   = x + 2

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These two DIFFERENCES are same because common difference is the same .

              → 2x -1 = x + 2

              → 2x -x = 2 + 1

              → x = 3

The THREE terms of the a.p. are 4 , 9 and 14 .

HOPE IT HELPS U ........... :)


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