The sum of the first (57) natural numbers is equal to which value?
Answer and explanation
Correct answer: 1653
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{57}=\frac{57\times58}{2}=57\times29=1653\). Hence, 1653 is correct. A value such as 1623 can result from an error while multiplying or halving. Exam tip: remember to use \(n+1\) in the formula.
Frequently asked questions
What is the correct answer to this question?
1653
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{57}=\frac{57\times58}{2}=57\times29=1653\). Hence, 1653 is correct. A value such as 1623 can result from an error while multiplying or halving. Exam tip: remember to use \(n+1\) in the formula.
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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