〜ていく: go on doing; go away; from now on

Shows a change or action moving away from now: it keeps going, gets further, or continues into the future.

Verb te-form + いく. Direction away from the speaker or from the present: 持っていく (take along), 増えていく (keep increasing), 頑張っていく (keep going from now on). Opposite of 〜てくる.