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

To determine the next number in the sequence 2, 4, 8, 16, we need to analyze the pattern in the series. Each number in the sequence is obtained by multiplying the previous number by 2.

• Starting with 2:

• 2 times 2 equals 4.

• 4 times 2 equals 8.

• 8 times 2 equals 16.

Following this rule, to find the next number after 16, we continue the pattern:

• 16 times 2 equals 32.

Thus, the next number in the sequence is 32, which confirms that this is the correct answer. The approach of consistently multiplying each term by 2 is what establishes the pattern in this sequence, leading to the conclusion that 32 follows next.