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Section 5:
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RECURRENCE RELATIONS |
SECTION 5
A sequence is a list of numbers which
are related to each other. Each item of the sequence is called a term.
Invariably, this being Mathematics, there is a formula which generates
each term of the sequence.
Notation
We use the notation Un to denote the nth
term of a sequence. The subscript of the letter U
tells you which term you are finding.
Thus U1 is the first
term, U2 is the second
term, U3 is the third
and so on.
Just as the term before U8
is U7 , and the term
after U8 is U9,
so the term before Un
is Un1 and the
term after Un is Un+1.
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