What will be the sum of the first (35) natural numbers?
Answer and explanation
Correct answer: 630
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=35\), we get \(\frac{35\times36}{2}=35\times18=630\). Therefore, 630 is the correct answer. An option such as 610 may result from an error in multiplication or division. Exam tip: use \(\frac{n(n+1)}{2}\) directly for \(1+2+\cdots+n\).
Frequently asked questions
What is the correct answer to this question?
630
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=35\), we get \(\frac{35\times36}{2}=35\times18=630\). Therefore, 630 is the correct answer. An option such as 610 may result from an error in multiplication or division. Exam tip: use \(\frac{n(n+1)}{2}\) directly for \(1+2+\cdots+n\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the sum of the first $n$ terms of an AP.
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