The sum of the numbers 1 to n is equal to a three-digit number with the same digits, find n

The problem is to find a number \( n \) such that the sum of the numbers from \( 1 \) to \( n \) equals a three-digit number with all identical digits.

### Step-by-Step Solution

1. **Sum Formula**: The sum of the first \( n \) natural numbers is given by the formula:
   \[
   S = \

Explore how to find a number n such that the sum of numbers from 1 to n equals a three-digit number with identical digits. This problem covers arithmetic sequences and the sum formula for natural numbers. Suitable for students in Grades 8-10.

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