Functions and Sequences
Videos and lessons to help High School students learn how to recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
For example, the Fibonacci sequence is defined recursively by
f(0) = f(1) = 1,
f(n+1) = f(n) + f(n-1) for n ≥ 1
Common Core: HSF-IF.A.3
Sequences and Functions
Arithmetic and Geometric Sequences
Arithmetic Sequences and Functions
A(n) = A(1) + (n -1)d
Writing Arithmetic Sequences as Functions
This video shows you how to view arithmetic sequences as functions, so that you can write a formula that'll give you any term of a sequence you want, just by plugging in the number of the term.
Arithmetic Sequences as Linear Functions.
Recursive formulas for Arithmetic and Geometric Sequences
Arithmetic Sequence: A(n) = A(1) + (n -1)d
Geometric Sequence: T(n) = T(n-1) × r
Recursive Functions Tutorial (With Fibonacci Sequence)
This shows you how to solve recursive functions, using the example of the classic Fibonacci recursive function.
f(1) = 1
f(2) = 1
f(n) = f(n-2) + f(n-1)
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