Question

If 2x+1,4x,13-x are in Arithmetic progression then X is equal to -------

Answer 1

4x-(2x+1)=13-x-4x
4x-2x-1=13-5x
2x+5x=13+1
7x=14
x=2

Answer 2

x = 2  if  2x+1, 4x, 13-x are in Arithmetic progression

Step-by-step explanation:

2x+1, 4x, 13-x are in Arithmetic progression

so they must have common difference betwen consecutive terms

Hence

4x - (2x + 1)  = (13 - x) - 4x

=> 4x - 2x - 1 = 13 - x - 4x

=> 2x - 1 = 13 - 5x

=> 7x = 14

=> x = 2

5 , 8  , 11  are terms

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