Intro to Sequences
Judit Kardos
Created on March 19, 2021
Just the basics: notation, explicit and recursive definition of a sequence.
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Transcript
Intro to Sequences
RULES:
Game master shares the screen, rolls the dice and moves the animals. Each players take turn answering the prompts. First person to reach the GOAL WINS!
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
GOAL
Say the definition of a sequence, if you pass this.
Lorem ipsum dolor sit amet
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
x2
19. You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
x2
You may throw the dice and move one more time!
46. What are the first 5 terms of the sequence
15. Define a non-constant sequence recursively that only has positive terms but every term is less than 2.
20. Find 4-5 terms of the sequence and guess what value will this sequence converge to.
18. Move forward 2 steps. .
22. How do we define a sequence using an explicit definition?
9.Define a sequence that only has irrational values!
Move back 2 steps!
2. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 1, 2, 3, 4, 5, 6, 7, 8, ...
49. Find the first 5 terms
1. What are the first 3 terms of the sequence a(n)=2n+1?
37. What are the first 3 terms of the sequence a(n)=n^2?
4. What are the first 5 terms of the sequence ?
41. What are the first 5 terms of the sequence? for n>1.
58.
11.
8. What does n refer to in ?
28. How do we define a sequence using a recursive definition?
Move back 2 steps!
39. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 6, 11, 16, 21, 26,...
Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 2, 4, 6, 8, ...
43. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 5,8,11,14,...
48. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 4, 7, 10,13,...
10. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 1, 3, 5, 7, 9, ...
53. Assume that the pattern of the sequence continues ad infinitum. Find a recursive and an explicit definition for the sequence! 1,3,9,27,81,...
Call the Professor! If your group answers this question correctly, everyone gets plus 2 points on QUIZ 3. What city is on the picture? If professor is busy, please write down your answer and continue the game until she arrives.
Call the professor! If your group answers this question correctly, everyone in the group gets 2 extra credit points on Quiz 3. What does your Discrete Math professor and this year's Abel prize winner, Laszlo Lovasz have in common? Only one of the statements is True and you have two guesses. A) They are both Russian. B) They went to the same high school in Budapest. C) They both wrote a paper with Paul Erdos. D) They both have a daughter named, Esther. If professor is busy, please write down your answer and continue the game until she arrives.
Call the professor! If your group answers this question correctly, everyone in the group gets 2 extra credit points on Quiz 3. Find a recursive definition for the sequence: 1, 3, 7, 15, 31, 63, 127, ... If professor is busy, please write down your answer and continue the game until she arrives.
Call the professor! If your group answers this question correctly, everyone in the group gets 2 extra credit points on Quiz 3. Find a recursive definition for the sequence: 1, 4, 9, 16, 25, 36, 49, 64, ... If professor is busy, please write down your answer and continue the game until she arrives.
Call the professor! If your group answers this question correctly, everyone in the group gets 2 extra credit points on Quiz 3. Find a recursive definition for the sequence of puppies and answer the question! If professor is busy, please write down your answer and continue the game until she arrives.
Call the professor! If your group answers this question correctly, everyone in the group gets 2 extra credit points on Quiz 3. What is the name of Dr. Kardos' kitten? You have two guesses. If professor is busy, please write down your answer and continue the game until she arrives. A) Maybe B) Zara C) Miso D) Sushi
7. Define a sequence that only has negative values and it is not constant!
5. Move forward 2 steps
30.Move forward 2 steps
55. Move forward 3 steps
40. Move forward 2 steps
12. Define a sequence explicitly that alternates between positive and negative values!
26. Find 4-5 terms of the sequence and guess what value will this sequence converge to.
34. Find 4-5 terms of the sequence and guess what value will this sequence converge to.
Move back 2 steps!
Move back 2 steps!
Move back 2 steps!
59. Assume that the pattern of the sequence continues ad infinitum. Find a recursive definition for the sequence!
61.
60. Assume that the pattern of the sequence continues ad infinitum. Find a recursive definition for the sequence! 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
45.
54.
32. Ask a question about sequences from the other group members! Please post your group's question and answer on the discussion board on Sequences on Canvas.
21. Ask a question about sequences from the other group members! Please post your group's question and answer on the discussion board on Sequences on Canvas.