Smith West
07/15/2024 · Senior High School
12. \( 1+2+3+4+\ldots \ldots \ldots \ldots . .+200= \). A. 10.100 B. 20.100 C. 200.100 D. 1.000 .100
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the sum of the first 200 natural numbers, we can use the formula for the sum of the first \( n \) natural numbers:
\[
S_n = \frac{n(n + 1)}{2}
\]
In this case, \( n = 200 \). Plugging in the value:
\[
S_{200} = \frac{200(200 + 1)}{2} = \frac{200 \times 201}{2} = \frac{40200}{2} = 20100
\]
Now, we can express \( 20100 \) in the format of the answer choices provided:
\[
20100 = 20.100
\]
Thus, the correct answer is:
\[
\boxed{20.100}
\]
Quick Answer
The sum is 20.100.
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