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Which is the sum of the first (44) natural numbers?

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Answer and explanation

Correct answer: 990

The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{44}=\frac{44\times45}{2}=22\times45=990\). Hence, 990 is correct. A value such as 968 results from not applying the multiplication and division correctly. Exam tip: in \(n(n+1)/2\), always use the number immediately after \(n\).

Related tags

Sequences And ProgressionsNatural NumbersSum Of Natural NumbersArithmetic FormulaClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

990

Why is this the correct answer?

The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{44}=\frac{44\times45}{2}=22\times45=990\). Hence, 990 is correct. A value such as 968 results from not applying the multiplication and division correctly. Exam tip: in \(n(n+1)/2\), always use the number immediately after \(n\).

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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