Question

Write the value of x for which x + 2, 2x, 2x + 3 are three consecutive terms of an

a.P.

Answer 1

Answer:

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

The arithmetic mean is b

b = \frac{a + c}{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

Answer 2

Answer:

x=5

Step-by-step explanation:

since the above three are the consecutive terms of an ap .

therefore ,

a2-a1=a3-a2 i;e

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

x-2=3

x=5 .

hope it helps u!!