Burgeon (verb)

1. To begin to grow and flourish, to sprout or develop.
2. To start to grow or develop quickly and vigorously.

Origin:

From old french borjoignier, from borjois ("small tree"), from bourge ("town") + -ois ("-ish"), first recorded in the 14th century.

Examples:

1. The flower began to burgeon.
2. The business began to burgeon.
3. The industry began to burgeon.
4. The city began to burgeon.
5. The population began to burgeon.