Sequences & Series
What is the next number in this sequence?
2, 4, 6, 8, ?
In Nim, what do players do each turn?
Take away paperclips (Playing chips) from piles.
What are the first two numbers of the Fibonacci sequence?
0 and 1
What does combinatorics study?
Counting and arranging objects
Which Discrete Mathematics student scored at homecoming?
What is Raphael Olschwang?
What are the two types of sequences?
Arithmetic, Geometric.
1
How is each Fibonacci number calculated?
By adding the two previous numbers
How many ways can you arrange 3 different objects?
6
What is Brodies favorite college football team?
What is USC?
What is the 6th term of the arithmetic sequence where the first term is 3 and the common difference is 4.
What is 23?
Is the position with one pile of any amount of objects in Nim a winning or losing position for the first player? Why?
Winning. Remove all but one.
What is the 7th Fibonacci number?
13
What is the value of 5!
120
Who just moved into a new House?
Brody
What is the sum of the first 10 positive integers, and what is the strategy to solve quickly?
55.
Making pairs of 11.
In a game of Nim with two piles of equal size, is the position winning or losing for the first player?
Losing
Where does the Fibonacci sequence commonly appear in nature?
One of Flowers, Trees, or Shells.
what does n choose r represent?
The number of ways to choose r objects from n objects
Wildwood.
What is the formula for the nth term of an arithmetic sequence?
an=a1+(n−1)d
Why is Nim considered a “solved” game?
Because a winning strategy is known for every possible position
What famous ratio does the Fibonacci sequence approach as numbers increase?
The golden ratio. 1.618
How many different 3-letter passwords can be made using only A and B, if repetition is allowed?
8
Who lives at 4259 Lobos Road. (if you live here your teamate has to answer)
Gavin CT