1. 2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Arithmetic Or Geometric? Expand This! Learn to Count What are the Odds? Pot Pourri

2. Determine whether the sequence is Arithmetic or Geometric. List d or r. 6, 4, 2, 0, -2, …

3. Arithmetic d= -2

4. Given a n = -4n + 13, Find a 17

5. -55

6. Write a recursive definition for the sequence defined by 2, 6, 18, …

7. a n = 2(3) n-1

8. Use sigma notation to write the sum of the following: 1 + 1 + 1 + …. + 1 2(1) 2(2) 2(3) 2(10) Then find the sum

9. Sum = 7381 5040

10. If n 6 =3, n 9 =81, find r and n 1

11. r=3, n 1 = 1 81

12. Expand (x + y) 4

13. x 4 +4x 3 y+6x 2 y 2 +4xy 3 +y 4

14. Give the third term of the expansion of (x + 1) 8

15. 28x 6

16. What term contains a 6 b 3 in the expansion of (2a + 3b) 9

17. 4 th term

18. Find the coefficient of the term that contains a 6 b 3 in the expansion of (2a + 3b) 9

19. 145152

20. Expand (x-7) 7

21. x 7 -49x 6 +1029x 5 -12005x 4 +84035x 3 - 352947x 2 +823543x -823543

22. A lunch consists of 3 different kinds of salads, 3 different kinds of soup, and 5 different drinks. How many choices are there for lunch?

23. 45

24. From a group of six boys and five girls, two boys and three girls will be selected to attend a conference. In how many ways can the selection be made?

25. 25

26. Find the number of distinguishable permutation of letters MISSISSIPPI.

27. 34650

28. A bag contains 4 purple marbles and 3 white marbles. How many ways can you draw 2 marbles?

29. 21

30. Find the number of diagonals in an octagon.

31. 20

32. A card is drawn from a deck of cards. Find the probability that it is not a face card.

33. 10/13

34. Of 100 students, 32 are taking Calculus, 28 are taking French, and 12 are taking both. If a student is picked at random, what is the probability that the student is taking Calculus or French?

35. .48

36. If you draw one card at random from a deck of 15 cards numbered 1 through 15, what is the probability that the number you draw is divisible by 3 and odd?

37. 1/5

38. If P(A) =.18, what is P(A’)

39. .82

40. A bag contains 4 red marbles and 3 blue marbles. One marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that the first marble is blue and the second is red?

41. 2/7

42. Simplify the ratio: 85! 79!

43. 3.14 x 10 11

44. Find the sum of the series: 1 + 1 + 1 + … 4 16 64

45. 1/3

46. Find the sum of the multiples of 7 from 7 to 175

47. 2184

48. Manchester has a population of 125,000 people now and the population is increasing 3% every year. What will be the population in 5 years?

49. 140688

50. Find an explicit definition for the nth term of the sequence 6, 11, 16, 21, …

51. 5n - 1