PATTERN
- repeated design or recurring sequence. • an ordered set of numbers, shapes. or other mathematical objects, arranged according to a rule.
EXAMPLE:
ARITHMETHIC SEQUENCE
-In mathematics, an arithmetic progression (AP) or arithmetic sequence is asequence 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.
FORMULA:
EXAMPLE:
ARITHMETIC SERIES
-a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).
EXAMPLE:
GEOMETRIC SEQUENCE:
-In mathematics, a geometric progression, also known as a 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, thesequence 2, 6, 18, 54, ... is a geometric progressionwith common ratio 3.
FORMULA:
EXAMPLE:
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 . The more general case of the ratio a rational function of the summation index produces a series called a hypergeometricseries.
FORMULA:
EXAMPLE:
HARMONIC SEQUENCE:
FABONACCI SEQUENCE:
-The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The nextnumber is found by adding up the two numbers before it. The 2 is found by adding the two numbersbefore it (1+1)
EXAMPLE:
