Understanding Sequences and Recursion

Understanding the history of sequences

Exploring the applications of sequences in physics

Learning about functions and function notation

Studying the biological implications of recursion

As an ordered set of numbers

As an unordered set of numbers

As a set of letters

As a random set of numbers

The last term of the sequence

The first term of the sequence

A specific term in the sequence

The sum of all terms in the sequence

As geometric shapes

As single numbers

As infinite lists

As finite lists

Negative odd numbers

Prime numbers

Positive even numbers

Fibonacci numbers

By subtracting a constant from the previous term

By adding a constant to the previous term

By dividing the term number by a constant

By multiplying the term number by a constant

Both use subscripts as input

Both can be represented graphically

Both are defined using explicit formulas

Both use the same input variable

A random element and a formula for all elements

No elements, just a formula

The first element and a formula for future elements

The last element and a formula for previous elements

Geometric progression

Arithmetic progression

Linear regression

Compounding interest

It requires more calculations

It is more complex

It is more accurate

It is easier to calculate terms much later in the sequence