Solve for x if the numbers are in arithmetic progression . 1+sqrtx, 2-sqrtx,1+2sqrtx. Solution To solve for x in 1+sqrtx, 2-sqrtx,1+2sqrtx which are in AP. Therefore the common diffrence = 2-sqrtx -(1+sqrtx) = 1+2srtx- (2-srtx) 1 - 2sqrtx = -1 +2sqrtx Add 2sqrtx : 1 = -1 +4sqrtx. Add 1: 2 = 4sqrtx Divide by 2: 1 = 2sqrtx Square both sides: 1 = 4x x = 1/4..