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

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

• A. 30
• B. 32
• C. 34
• D. 36

Answer: (B)

To determine the next number in the sequence 2, 4, 8, 16, we can observe a pattern in the numbers. Each number in the sequence is being multiplied by 2 to get the next number. Specifically: - Starting with 2, when we multiply it by 2, we get 4. - Then, if we take 4 and multiply it by 2, we arrive at 8. - Continuing this pattern, multiplying 8 by 2 gives us 16. Following this rule of multiplying by 2, the next number would be obtained by taking 16 and multiplying it by 2. Calculating that gives us: 16 × 2 = 32. Therefore, 32 is the next number in the sequence, which is why the correct answer is 32. This pattern of multiplication by 2 leads to exponential growth, and recognizing this consistent operation is key to solving for the next term in such sequences.

To determine the next number in the sequence 2, 4, 8, 16, we can observe a pattern in the numbers. Each number in the sequence is being multiplied by 2 to get the next number. Specifically:

• Starting with 2, when we multiply it by 2, we get 4.

• Then, if we take 4 and multiply it by 2, we arrive at 8.

• Continuing this pattern, multiplying 8 by 2 gives us 16.

Following this rule of multiplying by 2, the next number would be obtained by taking 16 and multiplying it by 2. Calculating that gives us:

16 × 2 = 32.

Therefore, 32 is the next number in the sequence, which is why the correct answer is 32. This pattern of multiplication by 2 leads to exponential growth, and recognizing this consistent operation is key to solving for the next term in such sequences.