# Which number is the next logical number in the following sequence of numbers: 2, 6, 14, 30,...

The sequence is defined as a list of numbers (or items) that exhibits a particular pattern.

## Answer: The next logical number in the following sequence of numbers 2, 6, 14, 30,... will be 62.

Let's identify the pattern.

**Explanation:**

Given: 2, 6, 14, 30,...

From the given sequence, we see that the pattern followed is:

2 × 2 + 2 = 6

6 × 2 + 2 = 14

14 × 2 + 2 = 30

Thus, we see that every resulting term is multiplied by 2 followed by adding 2 to the number.

Therefore, the next term will be 30 × 2 + 2 = 62