What is the sum of the first 100 natural numbers?
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Correct Answer: Option C
Explanation:
The sum of the first \(n\) natural numbers can be calculated using the formula:
\[ S_n = \frac{n(n + 1)}{2} \]
For \(n = 100\):
\[ S_{100} = \frac{100 \times (100 + 1)}{2} \]
\[ S_{100} = \frac{100 \times 101}{2} \]
\[ S_{100} = \frac{10100}{2} \]
\[ S_{100} = 5050 \]
So, the sum of the first 100 natural numbers is 5,050.
Thus, the correct answer is:
C. 5,050
The sum of the first \(n\) natural numbers can be calculated using the formula:
\[ S_n = \frac{n(n + 1)}{2} \]
For \(n = 100\):
\[ S_{100} = \frac{100 \times (100 + 1)}{2} \]
\[ S_{100} = \frac{100 \times 101}{2} \]
\[ S_{100} = \frac{10100}{2} \]
\[ S_{100} = 5050 \]
So, the sum of the first 100 natural numbers is 5,050.
Thus, the correct answer is:
C. 5,050