Then We sent Our messengers in succession. Every time there came to a nation its messenger, they denied him, so We made them follow one another [to destruction], and We made them narrations. So away with a people who do not believe.
(No nation can advance their term, nor can they delay it.) means, they are taken at the appropriate time, as decreed by Allah in His Book that is preserved with Him, before they were created, nation after nation, century after century, generation after generation, successors after predecessors.
ثُمَّ أَرْسَلْنَا رُسُلَنَا تَتْرَى
(Then We sent Our Messengers in succession.) Ibn `Abbas said, "(This means) following one another in succession." This is like the Ayah:
وَآوَيْنَاهُمَا إِلَىٰ رَبْوَةٍ ذَاتِ قَرَارٍ وَمَعِينٍ (and We gave them shelter on a height, a place of rest and running springs). According to Bayan-ul-Qur’ an, this verse refers to the event that a tyrant was resolute to kill Sayyidna ` Isa and his mother (علیہما السلام) right from his childhood. They escaped from him and, with Allah's grace, found a place on a height where they enjoyed a peaceful life until Sayyidna ` Isa (علیہ السلام) attained maturity and was entrusted with prophethood. (This commentary is taken from Khulasa-e-tafsir of Ma` ariful-Qur’ an).
Tazkirul Quran
Maulana Wahiduddin KhanOn ayahs 44–46
After the advent of each prophet, the succeeding generations of his community were always led astray. In order to reform them, prophets were sent to them again and again. In Adam’s generation Noah appeared. In Noah’s generation (the ‘Ad), Hud appeared as a prophet. In Hud’s generation (the Thamud), Salih appeared. But on each occasion those who had accepted the prophet of the past without question, were the very same people who were not at all prepared to accept the prophet of their own times. The reason for this is that the prophet of the past, as a result of a wealth of traditions surrounding him, ultimately becomes a symbol of national pride, or national identity. He assumes the status of a national hero. By accepting him, one’s superiority complex is satisfied. Obviously, who will refuse to accept such a prophet? But, the case of the prophet during his lifetime is just the opposite. He has neither any halo of history around him nor any traditions of greatness to enhance his persona. Accepting him amounts to accepting an invisible reality. This is why those who accepted the prophet of the past have always refused to accept the prophet of their own times. ‘So away with the people who will not believe!’ Those referred to in this injunction are people who could recognize God’s emissary only when, as a result of historical process, he had become their national hero.
Uthmani text of the Madinah mushaf (King Fahd Complex). Translation: Saheeh International. Tafsir via Quran.com.