Which is the sum of the first (34) natural numbers?
Answer and explanation
Correct answer: 595
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=34\), we get \(\frac{34\times35}{2}=17\times35=595\). Hence, 595 is the correct answer. A value such as 578 does not result from \(\frac{34\times35}{2}\). Exam tip: For the sum of consecutive natural numbers from 1 to \(n\), directly use \(\frac{n(n+1)}{2}\).
Frequently asked questions
What is the correct answer to this question?
595
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=34\), we get \(\frac{34\times35}{2}=17\times35=595\). Hence, 595 is the correct answer. A value such as 578 does not result from \(\frac{34\times35}{2}\). Exam tip: For the sum of consecutive natural numbers from 1 to \(n\), directly use \(\frac{n(n+1)}{2}\).
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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