'Offspring' in the Bible

In [the] first year [of] Darius, [the] son of Ahasuerus, from [the] offspring of [the] Medes, who became king over [the] kingdom of [the] Chaldeans--

And at [the] end of [some] years they will make an alliance, and the daughter of the king of the south will come to the king of the north to make a peace treaty, but {she will not retain her position of power}, and his offspring will not endure, and she will be given up, she and her attendants and her child supporting her, in those times.