Question

If $x+1,3x$ and $4x+2$ are in A.P., find the value of $x$.

Answer 1

Given

$x+1,3x$ and $4x+2$ are in $A.P$

then $3x-(x+1)=(4x+2)-3x$ [Common diff]

$\Rightarrow 2x-1=x+2$

$\Rightarrow x=3$