I learned 接着 a while ago, and the CEDICT definition is as follows:
to catch and hold on / to continue / to go on to do sth / to follow / to carry on / then / after that / subsequently / to proceed / to ensue / in turn / in one's turn
Today I encountered 继续 for the first time, and it has this definition:
to continue / to proceed with / to go on with
Are they mostly interchangeable? It looks like 接着 has a few more meanings, but are there any situations where 继续 is preferred? Are there any differences in tone or formality?