Question

What does this mean--what is it?

Answer 1

ok this is a recursive sequence which depends only on the precedent term . I believe this could be giving a converging sequence. Btw, you can use the trick that \[\lim x_n=\lim x_{n+1} = r\] to compute the limit (if it is unknown at some point)

Answer 2

Good enough for me. I found it in my flashcards, and didn't want to keep memorizing something I don't understand.