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How much is the sum of the first (58) natural numbers?

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Answer and explanation

Correct answer: 1711

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here, \(n=58\), so \(\frac{58\times59}{2}=29\times59=1711\). Therefore, 1711 is correct. A value such as 1701 can result from an arithmetic error. Exam tip: When \(n\) is even, divide it by 2 first to simplify the calculation.

Related tags

Sequences And ProgressionsSum Of Natural NumbersArithmetic SeriesNumber PatternsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

1711

Why is this the correct answer?

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here, \(n=58\), so \(\frac{58\times59}{2}=29\times59=1711\). Therefore, 1711 is correct. A value such as 1701 can result from an arithmetic error. Exam tip: When \(n\) is even, divide it by 2 first to simplify the calculation.

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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