Final answer:
The next number in the sequence 9, 3, 1, 1/3 is obtained by dividing the last number (1/3) by 3. This results in the next number being 1/9.
Step-by-step explanation:
To determine the next number in the sequence 9, 3, 1, 1/3, we need to identify the pattern. Observing the given series, each number is obtained by dividing the previous number by 3: 9 divided by 3 is 3, 3 divided by 3 is 1, and 1 divided by 3 is 1/3. Following this pattern, to find the next number, we divide 1/3 by 3.
Performing this division:
- 1/3 ÷ 3 = 1/3 × 1/3 = 1/9
Therefore, the next number in the sequence is 1/9.
In sequences that involve division, we continue to apply the division operation consistently at each step. Since all numbers in the sequence are obtained by dividing the previous number by the same value (which is 3 in this case), we keep using this operation until we reach the next term. This consistent pattern is key to predicting the following terms in any such mathematical sequence.