Question

If 2x, x+10,3x+2 are in A.P. the x is equal to​

Answer 1

Step-by-step explanation:

If a,b,c are in A.P , then we have the relation:2b=a+c

As 2x,x+10 and 3x+2 are in A.P , so

2(x+10)=2x+3x+2

2x+20=5x+2

3x=18

x=6.

Check : If x=6, then the terms of A.P becomes

12,16,20

2

and 2(16)=12+20

32=32

So, x=6.

Answer 2

Answer:

Since 2x, x+10 and 3x+2 are in AP this means ALL OF THEM HAVE A COMMON DIFFERENCE.

Step-by-step explanation:

$x + 10 - 2x = 3x + 2 - x- 10 \\ - x + 10 = - 8 + 2x \\ 3x = 18 \\ x = 6$