consecutively

The word "consecutively" is built upon the Latin verb sequi, meaning "to follow". The prefix con- intensifies this to mean "follow closely together". The adjective-forming suffix -ive was added to create "consecutive", describing things that follow in unbroken sequence. Finally, the adverbial suffix -ly was appended to modify the manner of an action, resulting in the modern meaning of doing something in an uninterrupted, sequential order. The core logic from its ancient components—following together—remains perfectly transparent in its contemporary usage.