3.7: Sequences and Series - Recurrence Relations Flashcards
1
Q
When can you write a recurrence relation?
A
when you know the rule to get from one term to the next in a sequence
2
Q
A recurrence relation of the form Un+1 =. f(Un) defines what?
A
each term of a sequence as a function of the previous term
3
Q
A sequence is increasing if…
A
Un+1 > Un
4
Q
A sequence is decreasing if…
A
Un+1 < Un
5
Q
A sequence is periodic if…
A
the terms repeat in a cycle
6
Q
For periodic sequences there is…
A
an integer k such that Un+k = Un.
The value k is called the order of the sequence
