Sequence:
Type: Arithmetic and Geometric Progression
Geometry: common ratio between neighbouring terms, e.g. Golden Ratio.
Arithmetic: common difference between neighbouring terms.
Series:
Geometric:
Sum of m sequence's terms: 1st*(1-ratio^m)/(1-ratio)
Arithmetic:
Sum of m sequence's terms: m*((1st + last)/2) or m*1st+ SUM(1:m)*difference