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What is the value of (S_{28}+28)?

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Answer and explanation

Correct answer: 434

The sum of the first 28 natural numbers is \(S_{28}=\frac{28\times29}{2}=406\). Therefore, \(S_{28}+28=406+28=434\). Option 435 is \(S_{29}\), because 29—not 28—is added to 406. Exam tip: Use \(S_n=\frac{n(n+1)}{2}\), then add the separately given number carefully.

Related tags

MathematicsSequences And ProgressionsNatural NumbersSum Of N TermsArithmetic Series

Frequently asked questions

What is the correct answer to this question?

434

Why is this the correct answer?

The sum of the first 28 natural numbers is \(S_{28}=\frac{28\times29}{2}=406\). Therefore, \(S_{28}+28=406+28=434\). Option 435 is \(S_{29}\), because 29—not 28—is added to 406. Exam tip: Use \(S_n=\frac{n(n+1)}{2}\), then add the separately given number carefully.

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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