Summation

Sequences and Summation

In this lesson we learned about infinite and finite sequences, factorials, summation notation, and properties of sums.

Infinte sequence:
A function whose domain is the set of positive integers. The function values a(1) a(2)....a(n)
Be sure to remember that n represents any positive real number and is exponential as it grows.

Finite sequence:
 if the domain of the function consists of the first n positive integers only.
Test for this first.

Factorial:
 if n is a positive integer, n factorial is defined by n! = 1x2x3x4 (n-1) x n

Summation notation:
The sum of the first n terms of a sequence.
Use the equations.