What comes next in this sequence?

Question

1. 729, 243, 81, 27, _, _, _

2. 1, 1, 2, 3, 5, 8, _, _, _

Answer 1

1.   729, 243, 81, 27, 9, 3, 1            Powers of 3

2.   1, 1, 2, 3, 5, 8, 13, 21, 34          Adding previous 2 numbers

Answer 2

1. 729, 243, 81, 27, 9, 3, 1 --- Each is divided by 3

2. Ah, the classic Fibonacci Sequence- impress your teacher-

    1, 1, 2, 3, 5, 8, 13, 21, 34

Answer 3

9, 3, 1 (divide by 3)

This is the Fibonacci sequence ... each # is the sum of the two previous terms.

13, 21, 34

5 + 8 = 13

8+13 = 21

13+21 = 34