Mathematics: Pattern Recognition

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Pattern Recognition
Simplifying Expressions
Sequences
Recursive Sequence
Arithmetic Sequence
Geometric Sequence
Trigonometry
Trigonometric Ratios
Periodic Function
Radian Measure
Trigonometric Identity

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Type Term Description Example
Constant Constant Position Value is constant Stationary object
Time 0 1 2 3 4 5
Location 100 100 100 100 100 100
Difference 0 0 0 0 0
Linear Constant Velocity The first differences are constant Car traveling at constant velocity 60 miles per hour
Time 0 1 2 3 4 5
Location 0 60 120 180 240 300
Difference 60 60 60 60 60
Quadratic Constant Acceleration First differenced change and the second differences are constant Ball thrown up in the air being slowed by gravity
Time 0 1 2 3 4 5
Location 1.0 26.1 41.4 46.9 42.4 28.5
Difference 25.1 15.3 5.5 -4.3 -14.1
Location   -9.8 -9.8 -9.8 -9.8  
Exponential Surge Common multiplier Number of Ancestors
Generations 0 1 2 3 4 5
Ancestors 1 2 4 8 16 32
Multiplier x2 x2 x2 x2 x2