Round #562

What is the next term in the sequence 2, 6, 18, 54?

To find the next term in the sequence, we need to identify the pattern. The sequence is: 2, 6, 18, 54 Let's analyze the sequence: - 2 × 3 = 6 - 6 × 3 = 18 - 18 × 3 = 54 The pattern of the sequence is obtained by multiplying the previous term by 3. So, to find the next term: - 54 × 3 = 162 Therefore, the next term in the sequence is 162.

To find the next term in the sequence, we can analyze the pattern of the given numbers. The sequence is obtained by multiplying the previous term by 3. Here is the sequence with the calculations: - 2 * 3 = 6 - 6 * 3 = 18 - 18 * 3 = 54 - 54 * 3 = 162 Therefore, the next term in the sequence is 162. Here is a simple C# function that generates this sequence up to a specified number of terms: ```csharp using System; public class SequenceGenerator { public static void GenerateSequence(int terms) { int currentTerm = 2; for (int i = 0; i < terms; i++) { Console.Write(currentTerm + " "); currentTerm *= 3; } } public static void Main(string[] args) { GenerateSequence(5); // Generate the first 5 terms of the sequence } } ``` In this code, the `GenerateSequence` function takes the number of terms as input and generates the sequence up to that number of terms. The `Main` function demonstrates how to use this function to generate the first 5 terms of the sequence. The output will be: `2 6 18 54 162`.