Question

if (x+2),2x,(2x+3)are in A.P then value of x
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Answer 1

Answer:

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

2x-x-2=3

x-2=3

x=3+2

x=5

Step-by-step explanation:

As they were in AP☺

Answer 2

Answer:

Step-by-step explanation:

ARITHMETIC MEAN : 2b = a + c

here : b = 2x , a = x+ 2 ,  2x + 3

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

4x = 3x + 5

4x - 3x = 5

x = 5

(or) another method

in an AP  the difference between the adjacent terms are equal so ,

2x + 3 - 2x = 2x - x + 2

3 = x + 2

x + 2 = 3

x = 3 + 2

x = 5