Its solution is usually: first, give the number of special cases, guess the general law, and verify it with any examples;
For example, this question:10th: (10+9+…+2+1)+(9+8+…+2+1) =100;
The nth time: (n+)
n- 1
+…+2+ 1)+(n- 1
+
n-2
+…+2+ 1)=n?