MATH 10: SEQUENCE - GENERATES PATTERNS
1. Differentiate finite sequence from infinite sequence
2. List down the first few terms or next few terms of a given sequence
3. Find the indicated term of the sequence
The set of shapes and numbers in the activity are called sequences.
A sequence is a function whose domain is a finite set of positive integers {1, 2, 3, …, n}
or an infinite set {1, 2, 3, …}. It also means an ordered list of numbers.
Each element or object in the sequence is called term.
A sequence having last term is called finite sequence while a sequence with no last term
is called infinite sequence.
Sequences may come in rule form. The rule describing the terms of a sequence is a
formula that gives the nth term of the sequence. It may be given explicitly so that any term of
the sequence is found following the rule. Such rule is called an explicit formula.
Example: Write the first 5 terms of
An=2n.
Solution:
You can also find a specific term, given a rule for the sequence
Example: Find the 13th and 100th terms of the sequence whose general term is given by
An=(−1)n
n2
Solution:
