Question

The sum of first '100' natural numbers is

• A. 2250
• B. 5100
• C. 5000
• D. 5050

Answer 1

The Correct Option is D

Step 1: Recall the formula for the sum of the first \( n \) natural numbers: \[ S = \frac{n(n + 1)}{2} \] Step 2: Substitute \( n = 100 \) into the formula: \[ S = \frac{100(100 + 1)}{2} \] Step 3: Simplify the expression inside the bracket: \[ S = \frac{100 \times 101}{2} \] Step 4: Multiply the numbers: \[ 100 \times 101 = 10100 \] Step 5: Divide the result by 2: \[ \frac{10100}{2} = 5050 \] Hence, the sum of the first 100 natural numbers is \(5050\).

The correct option is (D): \(5050\)