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What is the sum of natural numbers from (1) to (19)?

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Answer and explanation

Correct answer: 190

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here \(n=19\), so the sum is \(\frac{19\times20}{2}=190\). Hence, option C is correct. The value 180 may result from an incorrect multiplication of 19 and 20. Exam tip: In the formula, substitute the last natural number for \(n\).

Related tags

MathematicsSequences And ProgressionsNatural NumbersSum Of Natural NumbersArithmetic SeriesClass 9

Frequently asked questions

What is the correct answer to this question?

190

Why is this the correct answer?

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here \(n=19\), so the sum is \(\frac{19\times20}{2}=190\). Hence, option C is correct. The value 180 may result from an incorrect multiplication of 19 and 20. Exam tip: In the formula, substitute the last natural number for \(n\).

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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