0, 4, 8, 12, __
9, 4, -1, -6, -11, __
SEQUENCES
AND
SERIES
SEQUENCES
It is a function whose domain
is the finite set {1, 2, 3, . . . n}
or the infinite set {1, 2, 3, . . .}
ARITHMETIC
SEQUENCE
It is an ordered set of numbers
that have a common difference
between each consecutive
term.
COMMON
DIFFERENCE
A constant term added to
every term after the first.
ARITHMETIC
SEQUENCE
a = a + (n – 1) * d
n
1
Find the first 5 terms of the sequence given the
nth term.
1. an n + 4
2. a 2n -1
3. a 12 -3n
4. a 3n
5 . a   12 n
n
n
n
n
A. Find the missing terms in each arithmetic
sequence.
1.3, 12, 21, __, __, __
2.8, 3, 2, __, __
3.5, 12, __, 26, __
4.2, __, 20, 29, __
5.__, 4, 10, 16, __
6.17, 14, __, __, 5
7.4, __, __, 19, 24, ...
8.__, __, __, 8, 12, 16
9.1, __, __, __, 31, 39
10.13, __, __, __, 11, 17
B. Find three terms
between 2 and 34 of an
arithmetic sequence.