Question

12. If (x + 2), (2x + 3) and (4x + 1) are three consecutive terms of an AP then x is equal to :​

Answer 1

Answer:

3

Step-by-step explanation:

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

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

x+1=2x-2

x=3

hope you got it!!!

Answer 2

Answer:

• x = 3

Explanation:

Given A. P. series :-

• (x + 2), (2x + 3) and (4x + 1)

We need to find the value of $\rm x$

We know,

In an A. P. the common difference is same.

Common difference is given by :-

= Second term - First term

Then,

$\rm \therefore \: (2x + 3) - (x + 2) = (4x + 1) - (2x + 3)$

Solving further,

$\rm \implies \: (2x + 3) - (x + 2) = (4x + 1) - (2x + 3)$

$\rm \implies \: 2x + 3 - x - 2= 4x + 1 - 2x - 3$

$\rm \implies \: x + 1= 2x - 2$

$\rm \implies \: 2 + 1= 2x - x$

$\rm \implies \:3 = x$

∴ The value of ‘x’ is 3