Questions: What is the next number in the sequence? 9....3...1....1/3... 1 / 4 1 / 6 1/9 1/12

The sequence given is: 9, 3, 1, 1/3, ...

To determine the pattern, let's examine the relationship between consecutive terms:

1. From 9 to 3: Divide by 3 (9 ÷ 3 = 3)
2. From 3 to 1: Divide by 3 (3 ÷ 3 = 1)
3. From 1 to 1/3: Divide by 3 (1 ÷ 3 = 1/3)

The pattern is that each term is obtained by dividing the previous term by 3.

Following this pattern, the next term after 1/3 would be:

1/3 ÷ 3 = 1/9

Therefore, the next number in the sequence is 1/9.

Explanation for each option:

• $1/4$: Incorrect, as it does not follow the pattern of dividing by 3.
• $1/6$: Incorrect, as it does not follow the pattern of dividing by 3.
• 1/9: Correct, as it follows the pattern of dividing by 3.
• 1/12: Incorrect, as it does not follow the pattern of dividing by 3.

In summary, the answer is 1/9.