A specific fraction In the US or Canada, hard money Provide someone a place to live Change the last to a t, a singing group of a certain size

A thought experiment kept in a box, alive or dead, behind quantum locks. Do not open the lid, curb your curiousity, for you know what they say, curiousity killed me.

I am just a humble twine, simple as can be. But bright minds have a whole theory about me.

What’s the next number in this sequence? 3,3,5,4,4,3,5,5,4,3,6

I'm a crude word for a BM, often associated with a single large piece, and sorry for any unwanted visuals. I'm also a three letter mathematical term, sometimes annoying, defining an exponent in multiplication. I'm a piece of tree, so please solve the word; an easy three letter term.