Explore different types of mathematical patterns and their applications.
A sequence where the difference between consecutive terms is constant.
Each number is the square of its position (n²).
Each number is the cube of its position (n³).
Each number is a power of 2 (2ⁿ).
Each number is the square root of its position (√n).
Each number follows the formula n² + n.
Each number follows the formula n³ - n².
Each number is the sum of the two preceding numbers.
A sequence where each term is multiplied by a constant ratio.
The sum of the first n natural numbers: n(n+1)/2.
A geometric sequence where the ratio between terms varies systematically.
A sequence generated by a polynomial function.
The pattern could not be identified using common mathematical rules.