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Subjects

What is the sum of the first (37) natural numbers?

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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. A value such as 683 can result from an error in multiplication or halving. Exam tip: divide the even factor in \(n(n+1)\) by 2 before multiplying.

Tags

mathematicssequences and progressionsnatural numberssum of n natural numbersarithmetic series

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. A value such as 683 can result from an error in multiplication or halving. Exam tip: divide the even factor in \(n(n+1)\) by 2 before multiplying.

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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