Sequences and Series

A mathematical sequence is an ordered list of objects, often numbers. Sometimes the numbers in a sequence are defined in terms of a previous number in the list.

Given terms in a sequence, it is often possible to find a formula for the general term of the sequence, if the formula is a polynomial.

Sigma notation, denoted by the uppercase Greek letter sigma $\left ( \Sigma \right ),$ is used to represent summations—a series of numbers to be added together.

A recursive definition of a function defines its values for some inputs in terms of the values of the same function for other inputs.