Section 11.1 Sequences
Sequence Notations
Definition: A sequence is a list of infinitely many ordered numbers, whose indices are
positive integers starting from 1.
1. n-th term formula: We use to denote the sequence, . The formula
in the curly brackets gives the formula for n-th term.
{}
n
a123
,,aaa"
Exercise 1
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Exercise 2 (Check if formulas give the right first 4 terms)
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2. Recursive formula: A sequence can be defined recursively, i.e., except the given
first term, each term of the sequence is defined by a formula involving the previous
terms.
Exercise 3
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