MATH AND SQUAD

PATTERN

 repeated design or recurring sequence.an ordered set of numbers, shapes or  other mathematical objects, arranged according to a rule.

ARITHMETIC SEQUENCE

is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2.

  

ARITHMETIC SERIES

is the sum of an arithmetic sequence. A geometric series is the sum of a geometric sequence. There are other types of series, but you're unlikely to work with them until you're in calculus. For now, you'll probably just work with these two.

GEOMETRIC SEQUENCE

, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.

GEOMETRIC SERIES

A geometric series  is a series for which the ratio of each two consecutive terms  is a constant function of the summation index .

         

HARMONIC SEQUENCE

Harmonic progression is a sequence of numbers in which the reciprocals of the elements are in arithmetic progression.