Find sum of first 50 natural numbers.

Explanation

To find the sum of the first 50 natural numbers, we can use the formula for the sum of the first n natural numbers, which is:

\[ S_n = \frac{n(n + 1)}{2} \]

where \( S_n \) is the sum of the first n natural numbers and \( n \) is the number of terms.

### Step-by-Step Solution:

1. **Identify n**:
We need to find the sum of the first 50 natural numbers, so we set \( n = 50 \).

2. **Apply the formula**:
Substitute \( n \) into the formula:
\[ S_{50} = \frac{50(50 + 1)}{2} \]

3. **Calculate \( n + 1 \)**:
Calculate \( 50 + 1 \):
\[ 50 + 1 = 51 \]

4. **Substitute back into the formula**:
Now substitute this back into the formula:
\[ S_{50} = \frac{50 \times 51}{2} \]

5. **Multiply**:
Calculate \( 50 \times 51 \):
\[ 50 \times 51 = 2550 \]

6. **Divide by 2**:
Now divide by 2 to find the sum:
\[ S_{50} = \frac{2550}{2} = 1275 \]

7. **Final Answer**:
Therefore, the sum of the first 50 natural numbers is:
\[ S_{50} = 1275 \]