Question

if ap x+2,3x and 4x+1 value of x
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Answer 1

Step-by-step explanation:

The value of x is 1.

Step-by-step explanation:

Given : If (x+2), 3x and (4x+1) are in A.P.

To find : The value of x ?

Solution :

We know that,

The difference between two term is common in an A.P.

If a,b,c are in A.P.

then, b-a=c-bb−a=c−b

So, (x+2), 3x and (4x+1) are in A.P.

then, 3x-(x+2)=4x+1-3x3x−(x+2)=4x+1−3x

3x-x-2=4x+1-3x3x−x−2=4x+1−3x

2x-2=x+12x−2=x+1

3x=33x=3

x=\frac{3}{3}x=

3

3

x=1x=1

Therefore, the value of x is 1.

Answer 2

Step-by-step explanation:

then ,

3x - x - 2 = 4x + 1 - 3x

because common difference is same .

so ,

2x - 2 = x + 1

2x - x = 2+1 = 3

x = 3