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

Study for the SAE Mathematics Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

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

Explanation:
The sequence provided is 2, 4, 8, 16. Analyzing it, you can observe that each number is obtained by multiplying the previous number by 2. - The first term is 2. - The second term is 2 multiplied by 2, which gives 4. - The third term is 4 multiplied by 2, leading to 8. - The fourth term is 8 multiplied by 2, resulting in 16. Following this pattern, to find the next number, we take the last number in the sequence, which is 16, and multiply it by 2. This operation gives us 32. This consistent pattern of multiplication by 2 is the key to understanding the sequence and determining the next number. Thus, the next number is indeed 32, confirming that option C is correct.

The sequence provided is 2, 4, 8, 16. Analyzing it, you can observe that each number is obtained by multiplying the previous number by 2.

  • The first term is 2.
  • The second term is 2 multiplied by 2, which gives 4.

  • The third term is 4 multiplied by 2, leading to 8.

  • The fourth term is 8 multiplied by 2, resulting in 16.

Following this pattern, to find the next number, we take the last number in the sequence, which is 16, and multiply it by 2. This operation gives us 32.

This consistent pattern of multiplication by 2 is the key to understanding the sequence and determining the next number. Thus, the next number is indeed 32, confirming that option C is correct.

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