The problem presents a sequence: $\sin 1, 2 \sin \frac{1}{2}, 3 \sin \frac{1}{3}, 4 \sin \frac{1}{4}, ...$ We need to find the general term of this sequence.
2025/5/27
1. Problem Description
The problem presents a sequence:
We need to find the general term of this sequence.
2. Solution Steps
Let be the -th term of the sequence.
Observing the given sequence, we can deduce the general term as:
3. Final Answer
The general term of the sequence is .