Question

if (x+2) 3x and (4x+1) are in a.p then find x​

Answer 1

Given :-

x + 2 ; 3x ; 4x + 1 are in A.P

To find :-

x

Proof :-

In an A.P, the average of first term and third term is equal To second term.

Therefore,

${\dfrac{a1+a3}{2}=a2}$

-» ${\dfrac{x+2+4x+1}{2}=3x}$

-» ${5x + 3 = 6x}$

-» ${\Huge{\boxed{x = 3}}}$

Answer 2

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, $b-a=c-b$

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

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

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

$2x-2=x+1$

$3x=3$

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

$x=1$

Therefore, the value of x is 1.

#Learn more

X-1,x-4,x-7 are in A P then find x​

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