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

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

• A. 10
• B. 12
• C. 15
• D. 8

Answer: (B)

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.