What is the next number in the sequence: 3, 6, 9, ...?

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Prepare for the MTTC Lower Elementary PK–3 Mathematics 119 Exam with engaging flashcards and multiple-choice questions. Each question comes with hints and explanations to help you succeed in your exam!

Multiple Choice

What is the next number in the sequence: 3, 6, 9, ...?

Explanation:
To determine the next number in the sequence 3, 6, 9, we first identify the pattern in the series. Each number is increasing by 3, as seen from the differences: - The difference between 3 and 6 is 3. - The difference between 6 and 9 is also 3. Continuing this pattern, the next number would add another 3 to the last number, 9. Therefore, 9 + 3 equals 12, making it the next number in the sequence. The sequence illustrates a simple arithmetic progression, where a constant value (in this case, 3) is added repeatedly. Recognizing such patterns is essential in mathematics, especially when dealing with sequences, as it helps to predict subsequent values effectively.

To determine the next number in the sequence 3, 6, 9, we first identify the pattern in the series. Each number is increasing by 3, as seen from the differences:

  • The difference between 3 and 6 is 3.
  • The difference between 6 and 9 is also 3.

Continuing this pattern, the next number would add another 3 to the last number, 9. Therefore, 9 + 3 equals 12, making it the next number in the sequence.

The sequence illustrates a simple arithmetic progression, where a constant value (in this case, 3) is added repeatedly. Recognizing such patterns is essential in mathematics, especially when dealing with sequences, as it helps to predict subsequent values effectively.

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