Arithmetic sequence
A sequence generated by the same constant or common difference being added onto the previous terms
Arithmetic series
The sum of terms in an arithmetic sequence
Common difference
The constant difference between consecutive term in arithmetic progression
Common ratio
The constant multiplier used to form each consecutive term in a geometric series
Convergent series
The sum of series tend towards a specific value as the number of terms in the series increases
General formula for the nth term
Denoted by the Un. By substituting values for n the general terms become a specific term
Geometric sequence
A sequence in which the next term is always formed by multiplying the previous term by the same constant. Sometimes called a geometric progression
Geometric series
The sum of terms of a geometric sequence
Number sequence
A pattern of numbers arranged in a particular order according to a rule
Recursive
In a recursive formula, the value of a term depends on the value of the previous term
Series
The sum of the new terms in a sequence
Sigma Notation
Notation used to express a sum