Chapter 2 - Series - Instant Flashcards
What is a sequence?
A sequence is an ordered list of numbers.
Does the order matter in a sequence?
Yes, a sequence is an ordered list of numbers. However, in a set the order does not matter.
Which kind of brackets are used for sequences?
Parentheses. ( )
Which kind of brackets are used for sets?
Curly Brackets. { }
What is a series?
A series is a sum of a sequence.
What is an infinite series?
A series without an upper bound.
What does the notation nCk express?
nCk notates the number of combinations
to select k elements from a set S of n elements.
What is the formula for ‘n Permute k’?
(n!)/(n-k!)
How can the Binominal Coefficient be denoted?
Either nCk or ‘n over k’.
What is the formula of the Binominal Coefficient?
How are the numbers in Pascal’s triangle determined?
Each entry is the sum of the two numbers directly above.
What do the entries of one row in Pascal’s triangle represent in combinatorics?
The nth row of Pascal’s triangle contains the values of ‘n over k’ for all 0 ≤ k < n.
How does the MacLaurin series relate to the Taylor series?
The MacLaurin series is the Taylor series with x0 = 0.
