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

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

The sequence presented follows a clear pattern where each term is multiplied by 2 to get to the next term. Starting with the first term, 2:

  • The second term is 2 multiplied by 2, which equals 4.
  • The third term is 4 multiplied by 2, which equals 8.

  • The fourth term is 8 multiplied by 2, which equals 16.

Continuing this pattern, to find the next term after 16, we multiply 16 by 2. This calculation gives us 32, indicating that the next term in the sequence is indeed 32. This consistent pattern of doubling each previous term confirms that the sequence is geometric with a common ratio of 2.

As a result, the correct answer is 32, which logically follows the established pattern of the sequence.

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