What is the next number in the sequence: 2, 4, 8, 16, ...?

The sequence presented is a series where each number is obtained by multiplying the previous number by 2.

Starting with 2, when you multiply:

• 2 by 2, you get 4.

• 4 by 2, you get 8.

• 8 by 2, you get 16.

Following this pattern, the next number would be obtained by taking 16 and multiplying it by 2, which results in 32. This consistent doubling pattern confirms that 32 is the correct continuation of the sequence.

This approach to recognizing patterns in sequences is fundamental in mathematical reasoning, as it allows for the identification of rules that govern the progression of numbers. In this case, understanding exponential growth through multiplication by a constant factor is essential.