Question

If x + 1, 3x and 4x + 2 are in A.P., find the value of x.

Answer 1

Answer:

The value of x is 3.

Step-by-step explanation:

Given :  

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

Since the terms are in A.P

Therefore,  

Second term - first term =  third term - second term

[Common difference in AP is same]

a2 - a1 = a3 - a2

Therefore,

=>3x - (x + 1) = 4x + 2 - (3x)

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

=>2x - 1 = x + 2

=>2x - x = 2 + 1

=>x = 3  

Hence, the value of x is 3.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

HEY MATE!

HERE IS YOUR ANSWER:

Let x+1=a

3x=b

and 4x+2=c

We know that if a , b and are in AP

then , a+b/2=c

SO, (x+1+4x+2)/2=3x

5x+3=3x×2

5x+3=6x

3=6x-5x

3=x

x=3

HOPE IT HELPED ^_^