2, 6, 18, 54
The sequence "2, 6, 18, 54" represents a pattern where each number is multiplied by 3 to get the next number. Starting with 2, multiplying by 3 gives 6. Continuing this process, 6 multiplied by 3 results in 18, and 18 multiplied by 3 equals 54. This demonstrates a geometric progression.
In mathematical terms, this sequence can be expressed as a_n = 2 \times 3^(n-1) , where a_n is the nth term. Such sequences are common in various fields, including mathematics, finance, and computer science, where exponential growth is analyzed.