Find answers to legal questions in mathematics.

1. Order: 1, 3, 9, 27, 8 1, ..., the nth number is _ 3 (n- 1) _.

2. The sequence: 1, 4, 9, 16, 25, ..., and the nth number is _ _ (n- 1) 2 _ _.

3. Order: 1, 8, 27, 64, 125, ..., and the nth number is _ _ n 3 _ _.

4. Order: 2, 5, 10, 17, 26, 37, ..., and the nth number is _ _ n 2+ 1 _ _.

5. Order: 1/4, 3/9, 7/ 16, 13/25, 2 1/36, ..., and the nth number is _ [n (n-/kloc-0.

6. Order: 1, 3,6, 10,15,21,..., the nth number is _ n (n+ 1)/2 _ _.

7. Three teams play a round robin (each team plays a game with all other teams). What is the total number of games? What about Team M?

3: 3× 2 ÷ 2 = 3; M pieces: m(m- 1)/2

8. Observe the following formula:1*1*1=1*1*1* 2 *1* 65438+.

1* 1* 1+2*2*2+3*3*3=36= 1/4*3*3*4*4, ......

If1*1*1+2 * 2+3+...+n * n * n =1/4 * 240 * 240, then n = _ _ 15.

(Because 240= 15× 16)