1. P ATTERNS AND S EQUENCES SOL 6.17 BY K WOODARD AND K NORMAN

2. A RITHMETIC S EQUENCE Add or Subtract the same number each time This is called the common difference examples 2, 4, 6, 8, … common difference is + 2 1600, 1500, 1400, 1300, … common difference is -100

3. A RITHMETIC S EQUENCES 4, 7, 10, 13,… Common difference: + 3 27, 24, 21, 18,… Common difference: - 3 5, 20, 35, 50,… Common difference: + 15

4. A RITHMETIC S EQUENCES ARE L INEAR P ATTERNS When you graph the pattern it makes a line Linear It goes up or down gradually.

5. G EOMETRIC S EQUENCE

7. G EOMETRIC S EQUENCES ARE E XPONENTIAL P ATTERNS When you graph the pattern it makes a steep curve Exponent ial It goes up or down fast!

8. M AKE YOUR OWN PATTERNS Start at 1, rule: x 2 Start at 1000, /2 Start at 3, x 3 Start at 390,625, /5 Start at 218,700, /3 Start at 1, x 4 Start at 1, rule: +2 Start at 1000, -50 Start at 12, +6 Start at 81, -9 Start at 13, +5 Start at 20, -4

9. 08 SOL 6.17*

11. 06 SOL 6.17

12. P OWERS OF 10 Ten to the 3 rd power =10 x 10 x 10 = 1000 base exponent

13. P OWERS OF B ASE 10

14. 08 SOL

15. 08 SOL 6.21, 6.22*

17. S QUARE N UMBERS Numbers that can be represented by dots in a square array. 1st four square numbers are depicted below:

18. F LOOR T ILES Perfect Square Numbers!

20. T RIANGULAR N UMBERS Numbers that can be represented by dots in a triangular array. 1st four triangular numbers are depicted below: 1 3 6 10 +2 +3 +4

22. http://collegian.csufresno.edu/2008/ 04/18/chingy-for-change-a-cause- on-pause-for-a-quick-game/

24. 07 SO L

25. 08 SOL

26. 06 SOL

27. 07 SOL

28. F IBONACCI S EQUENCE http://www.fibonacci.name/

29. F IBONACCI S EQUENCE

30. mat-cast.com

34. F IBONACCI S EQUENCE

35. Arithmetic + or – the common difference 2, 4, 6, 8, 10 Geometric X or / the common ratio 2, 4, 8, 16, 32 1, 10, 100, 1000 Perfect Square Multiply n*n 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 Triangular Add one more each time 1, 3, 6, 10 Fibonacci Add the last 2 to get the next 1, 1, 2, 3, 5, 8, 13, 21, 34 worksheet