Find the sum of first 25 natural numbers.

Options

A. 432
B. 315
C. 325
D. 335

Answer

To find the sum of the first 25 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 1: Identify n
In this case, we need to find the sum of the first 25 natural numbers, so we have:
\[ n = 25 \]

### Step 2: Substitute n into the formula
Now, substitute \( n \) into the formula:
\[ S_{25} = \frac{25(25 + 1)}{2} \]

### Step 3: Simplify the expression
Calculate \( 25 + 1 \):
\[ 25 + 1 = 26 \]
Now substitute this back into the equation:
\[ S_{25} = \frac{25 \times 26}{2} \]

### Step 4: Calculate the product
Now calculate \( 25 \times 26 \):
\[ 25 \times 26 = 650 \]

### Step 5: Divide by 2
Now divide by 2:
\[ S_{25} = \frac{650}{2} = 325 \]

### Final Answer
Thus, the sum of the first 25 natural numbers is:
\[ \boxed{325} \]

---