Q: Can you stick with the same strength-training routine week after week?
A: Not if you want to continue to gain strength, since muscles adapt quickly to a given exercise at a given stress level.
You can vary your routine by increasing the number of repetitions or sets. Or, increase the weight so you can cut back on the number of reps and/ or sets. You can alternate “heavy” days (heavier weights, with fewer reps and/or sets) with “lighter” ones.
You can also vary the types of exercises you do and use different machines to focus on other muscles or to work the same muscles from different angles.