Question

If 1/x+2, 1/x+3 and 1/x+5 are in AP. Find the value of x

Answer 1

Now we have to use the formula , 2b = a +c 

Now substitute the given values in the equation

so ,  2          1            1
      ------  =  ------  +  ------
      x +3       x+2       x+ 5 
   

solve the equation by takin L.C.M,
 
U get 14x + 20 = 16 x +30

thus x= -5