find x so that x+2,4x and 6x+1 are terms of an arithmetic sequence solution

find x so that x+2,4x and 6x+1 are terms of an arithmetic sequence
solution
a 4
b 5
c 3
D 6
e none of the above
if a ,b ,c are in AP than we know that b=a+c/2 or 2b=a+c
by same application
2*4x=x+2+6x+1
8x=7x+3
8x-7x=3
x=3
solution is option C

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