Which value is equal to the sum of the first (24) natural numbers?
Answer and explanation
Correct answer: 300
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=24\), we get \(\frac{24\times25}{2}=12\times25=300\). Therefore, 300 is the correct option. Although 288 is close, it is not obtained from the formula. Exam tip: In such questions, use \(n(n+1)/2\) and divide the even factor by 2 first.
Frequently asked questions
What is the correct answer to this question?
300
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=24\), we get \(\frac{24\times25}{2}=12\times25=300\). Therefore, 300 is the correct option. Although 288 is close, it is not obtained from the formula. Exam tip: In such questions, use \(n(n+1)/2\) and divide the even factor by 2 first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sum of first n natural numbers.
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