lesson 1 Flashcards
ordered set of numbers formed according to some pattern or rule.
- functions whose domain is the set of positive integers or the set {1, 2,3, …, n}.
Sequence
what you get when you add up all the terms of a sequence
Series
what you get when you add up all the terms of a sequence; and theresulting value, are called the
sum or the summation
sum of the terms of a sequence and is denoted by
Sn
sum of the terms of a sequence and is denoted by Sn where n presents the
number of terms.
Set of elements that follow a
pattern
Order of elements is important
Sequence
Sum of elements of the sequence
* Order of elements is notimportant
Series
is the sum of the first n terms of a sequence. It is also referred to as the nth partial sum of a sequence.
Finite series
is the sum of all the terms of an infinite sequence.
An infinite series
each term after the first is obtained by adding a constant (called thecommon difference) to the preceding term.
Arithmetic sequence
an arithmetic series is the sum of an arithmetic sequence.
Arithmetic Series
sequence in which each term after the first is obtained by multiplyingthe preceding term by a constant (called the common ratio).
Geometric Sequence
results from adding the terms of a geometric sequence
Geometric Series
Sequence of real numbers which is determined by taking thereciprocals of the arithmetic progression that does not contain 0.
Harminic Sequence
This is a number sequence whose terms are equal to the sum of thetwo previous terms
Fibonacci sequence