How much is the sum of the first (37) natural numbers?
Answer and explanation
Correct answer: 703
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=37\), we get \(\frac{37\times38}{2}=37\times19=703\). Therefore, 703 is correct. The values 693, 713, and 723 do not result from this formula. Exam tip: Write \(n(n+1)/2\) and simplify the even factor by 2 first.
Frequently asked questions
What is the correct answer to this question?
703
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=37\), we get \(\frac{37\times38}{2}=37\times19=703\). Therefore, 703 is correct. The values 693, 713, and 723 do not result from this formula. Exam tip: Write \(n(n+1)/2\) and simplify 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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