Question

2x,2x+1,3x+6 are the terms of an app find x

Answer 1

$\large{\implies{Answer}}$

If the above terms are in Ap then thier common difference are equal

$(2x + 1 )- (2x) = (3x + 6) - (2x + 1) \\ 2x + 1 - 2x = 3x + 6 - 2x - 1 \\ 1 = x + 5 \\ 5 + x = 1 \\ x = 1 - 5$

$\large{\implies{x=-4}}$

Answer 2

Answer:

x= -4

Step-by-step explanation:

a=2x

t₃-t₂=3x+6-(2x+1)                     t₂-t₁=2x+1-2x

      =x+5                                       =1

t₃-t₂=t₂-t₁

On substituting the values, we get

x+5=1

x= -4

AP = -8, -7, -6