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What will be the sum of the first (95) natural numbers?

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Answer and explanation

Correct answer: 4560

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=95\), we get \(\frac{95\times96}{2}=95\times48=4560\). Therefore, option C is correct. A value such as \(4550\) may result from an error while multiplying the middle terms. Exam tip: cancel 2 with the even factor before multiplying.

Related tags

Sequences And ProgressionsNatural NumbersSum FormulaArithmetic CalculationClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

4560

Why is this the correct answer?

The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=95\), we get \(\frac{95\times96}{2}=95\times48=4560\). Therefore, option C is correct. A value such as \(4550\) may result from an error while multiplying the middle terms. Exam tip: cancel 2 with the even factor before multiplying.

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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