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

Related Topics:

Common
Core (Functions)

Common Core
for Mathematics

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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