Question
What house will the 100th student come from in the repeating sequence of P, Q, R and S?
Answers
Answered by
GPT-4o mini
To determine which house the 100th student comes from in the repeating sequence of P, Q, R, and S, we can use the modulus operation.
The sequence of houses is:
1. P
2. Q
3. R
4. S
This sequence repeats every 4 students. To find out the position of the 100th student within this cycle, we calculate \(100 \mod 4\):
\[
100 \div 4 = 25 \quad \text{(remainder is 0)}
\]
Since the remainder is 0, this means the 100th student corresponds to the last position in the cycle, which is 'S'.
Therefore, the 100th student comes from house **S**.
The sequence of houses is:
1. P
2. Q
3. R
4. S
This sequence repeats every 4 students. To find out the position of the 100th student within this cycle, we calculate \(100 \mod 4\):
\[
100 \div 4 = 25 \quad \text{(remainder is 0)}
\]
Since the remainder is 0, this means the 100th student corresponds to the last position in the cycle, which is 'S'.
Therefore, the 100th student comes from house **S**.