It is not accurate to say the Bible gives us a linear, not cyclical, worldview or view of history. Scripture combines both.
God’s redemptive revelation breaks the cycle of pagan worldviews but maintains and redeems the cycles of the created order. This in fact is a key aspect of biblical revelation: Redeeming the cycles of “nature” (seasons, agriculture, sun, moon, stars, human birth and death) from pagan understandings and idolatry and attempted manipulation through rituals, magic, and sacrifices.
“O the depth of the riches and wisdom and knowledge of God! How unsearchable are his judgments and how inscrutable his ways! ‘For who has known the mind of the Lord? Or who has been his counselor?’ ‘Or who has given a gift to him, to receive a gift in return?’ For from him and through him and to him are all things. To him be the glory forever.” – Romans 11:33–36