to start; to continue; to go on
Expresses an action that begins or continues, often moving away from the speaker or into the future.
The pattern ていく is used after the て-form of a verb to show that an action starts or continues from the present moment into the future. It often implies a sense of moving forward in time or space, away from the speaker. For example, 走っていく means 'to run off' (running away from the speaker), while 勉強していく means 'to continue studying' (into the future).
When the verb implies a change, ていく can indicate the beginning of that change and its progression. For instance, だんだん暖かくなっていく means 'it gradually becomes warmer' (starting now and continuing). This is common with verbs like なる (to become) or adjectives used with なる.
In speech, ていく is often contracted to てく in casual conversation, but this is informal. In writing or formal speech, use the full form.