General Forms of a Sequence

GENERAL FORMS OF A SEQUENCE

Sequence- Is an ordered list of terms or elements.

Arithmetic  sequence formula- In an Arithmetic Sequence the difference between one term and the next is a constant. Also called the Common Difference. 

Geometric sequence formula-  In a Geometric Sequence each term is found by multiplying the previous term by a constant. Also called the Common Ratio.

Example:

2, 4, 8, 16, 32, 64, 128, 256, ...

This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2.

Finite sequence- Is a function with domain 1,2,3.

Infinite sequence- Is a function with domain 1,2,3,4.... etc.

Series- Is the sum of a sequence.

Explicit formula-  Each domain is an answer not based on any values.

Recursive Formula-  Each domain is a answer based on a previous answer.