In this paper we first give a new formula for sum of series,and then research the sum of so called equivalent sum series of high order.

The paper introduces the K series parameters and their relations,and gives the linear regression equation of residual stress of the drawn HSnTO-1 copper tube,to a certain extent,which could predict the corrosion-resisting property of the tube, and point out the drawing-up of drawing draught for the low residual stress tubes is an energy-saving measures.