Definitions: (1) manifesting something; generative; creative <a productive mind>; (2) abundant; fertile; fruitful<of a person: having a green thumb>; (3) bringing into being; causing to exist <especially that which has not exited before> <Picasso was a productive genius.>

• The ancient Greek view of happiness was really defined by leading a productive life: It’s not about how much you have, it’s about what you do with it. — Karen Duffy (1961-) American actress & writer
• If you have a good self-esteem, you can be generous, you can give back and you can be productive in the world. — Deborra-Lee Furness (1955-) Australian actress & producer

Advice: Do not confuse busy with productive.