Question

find the value of x for which 8x+4,6x-2and2x+7 are in ap

Answer 1

Heya !!!



AP = 8X + 4 , 6X -2 , and 2X + 7


Here,


First term ( A ) = 8X + 4


Second term ( A2 ) = 6X - 2



And,


Third term ( A3 ) = 2X + 7



Common Difference ( D ) = A2 - A1


=> ( 6X - 2 ) - ( 8X + 4 )



=> 6X - 2 - 8X - 4


=> -2X - 6




Also,


Common Difference ( D ) = A3 - A2



=> 2X + 7 - ( 6X - 2 )



=> 2X + 7 - 6X + 2


=> -4X + 9



As we know that,


Common Difference of an AP is always equal.



so,


A2 - A1 = A3 - A2



-2X - 6 = -4X + 9



-4X + 2X = -6 - 9




-2X = -15



X = 15/2



★ HOPE IT WILL HELP YOU ★

Answer 2

Hey!!

AP = 8x + 4, 6x - 2 and 2x + 7

First term (A1) = 8x + 4

Second term ( A2 ) = 6x - 2

and

Third term ( A3 ) = 2x + 7

Common Difference ( D ) = A2 - A1

=> ( 6x - 2 ) - ( 8x + 4 )

=> 6x - 2 - 8x - 4

=> - 2x - 6

Common Difference ( D ) = A3 - A2

=> ( 2x + 7 ) - ( 6x - 2 )

=> 2x + 7 - 6x + 2

=> - 4x + 9


We know that,

Common Difference of AP is always equal

A2 - A1 = A3 - A2

=> - 2x - 6 = - 4x + 9

=> - 2x + 4x = 9 + 6

=> 2x = 15

=> x = 15 / 2


Hope it will helps you ✌