Hullo there folks!

I recieved a really interesting assignment from my psychology teacher.

I must concentrate on one of three problems before I go to sleep and try to dream about them. The assignment is for non-lucid dreams, but I wanted to get everyone's take on them and see what you guys thought, if you've ever heard of anything similar. And as well if you think they could be figured out in a lucid dream.

Here are the problems

#1
The Letters O, T, T, F, F . . . Form the beginning of an infinite sequence. Find a simple rule for determining any or all successive letters. According to your rule, what would the next two letters of the sequence be?

#2
Consider the letters H, I, J, K, L, M, N, O. The solution to this problem is one word. What is this word?

#3
The numbers 8, 5, 9, 1, 7, 6, 3 ,2 form a sequence. How are these numbers ordered?



What do you mates think?