Question

Find the value of

x

for which

x +2 ,2x and

2x+3 are three consecutive terms in A.P. ​

Answer 1

Answer:

Step-by-step explanation:

Hi there!!

Let us take an A.P of terms a, b, c

The arithmetic mean is b

$b=\frac{a+ b}{2}$

Here,

a= x + 2

b= 2x

c= 2x + 3

On substituting the values in the formula we get :

2x=x+2+2x+3/2

2x=3x+5/2

4x=3x+5

X=5

Hence the value of x is 5

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