I.Write the first five terms of the sequence whose nth term is given by the formula. Show your solutions. (5 items x 3 points)

1. a_n = 1-2n

1

2. an = +1 OR 1 over n+1

4

3. an = +2 OR 4n over n+2

4.a_n = 3ⁿ

5.a_{n OR 1 over 3 and n2}

1 2

=

3

II.Use the difference table to predict the next term in the sequence. Show your solutions. (5 items x 3 points)

1. 3, 6, 11, 18, 27, ...

2.15, 36, 77, 144, 263, ...

3.1, 12, 23, 34, 45, 56, ...

4.12, 45, 98, 171, 264, ...

5. 0, 7, 26, 63, 124, ...

III.Polya's Strategy

Use Polya's four-step problem-solving strategy to solve the following problems. (2 items x 10 points)

1.Board game (Checkers) tournament was facilitated and begins with 729 players. Each game has three

(3) players, and in each game, only one (1) winner will advance to the next round. How many games must be played to determine the winner?

2.In a class of 27 students, 21 lived with both parents, 24 lived with their mothers, and 22 lived their fathers. How many lived with neither parents?