to continue (for a long time); to occur in succession; to come next (e.g. on TV)
好天が引き続いて農作物がよく育った。
Good weather continued and the crops grew well.
事件が引き続いて起きたので住民は不安だ。
Incidents occurred in succession, so residents are uneasy.
引き続き努力を続けていきましょう。
Let's continue making efforts.