2, 4, 6, 8, 10 (difference: 2)1, 4, 7, 10, 13 (difference: 3)5, 2, -1, -4, -7 (difference: -3)2, 4, 8, 16, 32 (ratio: 2)1, 3, 9, 27, 81 (ratio: 3)100, 50, 25, 12.5 (ratio: 0.5)Mathematical sequences are ordered lists of numbers that follow specific rules or patterns. Identifying these patterns is crucial in mathematics, computer science, and various real-world applications.
Each term is obtained by adding a constant difference to the previous term.
Formula: an = a1 + (n-1)d
Example: 2, 4, 6, 8, 10... (difference = 2)
Each term is obtained by multiplying the previous term by a constant ratio.
Formula: an = a1 × r(n-1)
Example: 2, 4, 8, 16, 32... (ratio = 2)
