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Choose the correct option for the sum of the first (33) natural numbers.

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Answer and explanation

Correct answer: 561

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=33\), we get \(\frac{33\times34}{2}=33\times17=561\). Therefore, option B is correct. A value such as 551 would result from an arithmetic error. Exam tip: always use the next number, \(n+1\), in the formula.

Related tags

MathematicsSequences And ProgressionsNatural NumbersSum Of N Natural NumbersArithmetic SeriesClass 9

Frequently asked questions

What is the correct answer to this question?

561

Why is this the correct answer?

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=33\), we get \(\frac{33\times34}{2}=33\times17=561\). Therefore, option B is correct. A value such as 551 would result from an arithmetic error. Exam tip: always use the next number, \(n+1\), in the formula.

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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