Final answer:
Saul achieved victory against the Ammonites according to 1 Samuel 11:11. It was during his reign as the first king of Israel. He was succeeded by David after a reign marked by both victories and difficulties.
Step-by-step explanation:
According to the biblical narrative, Saul was victorious against the Ammonites. In 1 Samuel 11:11, it is described that with the Lord's blessing, Saul and his men cut down the Ammonites, effectively achieving victory over them. This event is part of the broader historical context within the Hebrew Bible, where Saul, as the first king of Israel, led battles against various enemies, including the Philistines and the Ammonites. Though Saul's reign was marked by military victories, he also faced significant challenges and had a tumultuous kingship, eventually being succeeded by David who continued the struggle against Israel's enemies and expanded the kingdom.