Download Section 8.1 - Shelton State

Section 7.1
Sequences and Series
Sequences
Sequence- a function that has a set of
natural numbers as its domain
Sequence notation
f(x)
an
an= f(n) where n is a natural number
an is the “nth term”
Types of Sequences
Finite Sequence
Domain is the set {1, 2, 3, . . . , n}
Infinite Sequence
Domain is all natural numbers
Series
Series- sum of the terms of a sequence
Finite Series
(Summation Notation)
n
a
k
k=1
 a1  a 2  . . .  an
Summation Notation
Ending term
n
Sigma
a
k
 a1  a 2  . . .  an
k=1
Formula to find kth term
Starting term