Sequences and How to Specify Them (HSC SSCE Mathematics Advanced): Flashcards
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Definition of a sequence
Definition of a sequence
An ordered list of numbers following a specific pattern or rule
Two types of sequences
Two types of sequences
Infinite (continuing forever) and finite (ending after set terms)
What represents
What represents
The nth term of a sequence
Three methods to specify a sequence
Three methods to specify a sequence
Write terms; formula; starting value + recursive rule
Recursive formula components
Recursive formula components
Starting value and rule to get from one term to the next
Main advantage of formula method
Main advantage of formula method
Calculate any term directly without previous terms
Main limitation of recursive formula
Main limitation of recursive formula
Must calculate all previous terms to find a given term
Checking if value is in sequence: required condition for
Checking if value is in sequence: required condition for
Must be a positive integer
Finding first positive term: what to state
Finding first positive term: what to state
Both the term number () and its value ()