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 given by:

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

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

### Step 1: Identify \( n \)
In this case, we want to find the sum of the first 50 natural numbers, so we set \( n = 50 \).

### Step 2: Substitute \( n \) into the formula
Now we substitute \( n \) into the formula:

\[ S_{50} = \frac{50(50 + 1)}{2} \]

### Step 3: Calculate \( 50 + 1 \)
First, we calculate \( 50 + 1 \):

\[ 50 + 1 = 51 \]

### Step 4: Multiply \( 50 \) and \( 51 \)
Next, we multiply \( 50 \) and \( 51 \):

\[ 50 \times 51 = 2550 \]

### Step 5: Divide by \( 2 \)
Now, we divide \( 2550 \) by \( 2 \):

\[ \frac{2550}{2} = 1275 \]

### Final Answer
Thus, the sum of the first 50 natural numbers is:

\[ S_{50} = 1275 \]