Question

if (x+2),2x, (2x+3) are the three consecutive term of an ap find the value of x

Answer 1

D = A2 - A1  and A3 - A2 


2x - (x+2) = 2x+3 - 2x

x - 2 = 3 

x = 5 

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Answer 2

In an AP, the middle term is the average of succeeding and preceeding term.

Therefore (x+2)+(2x+3)/2 =2x

3x+5/2=2x

3x+5=4x

x=5.