Which is the sum of the first (52) natural numbers?
Answer and explanation
Correct answer: 1378
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=52\), we get \(\frac{52\times53}{2}=26\times53=1378\). Hence, 1378 is the correct option. A value such as 1368 may result from an arithmetic error in multiplication or addition. Exam tip: when \(n\) is even, divide it by 2 first to calculate faster.
Frequently asked questions
What is the correct answer to this question?
1378
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=52\), we get \(\frac{52\times53}{2}=26\times53=1378\). Hence, 1378 is the correct option. A value such as 1368 may result from an arithmetic error in multiplication or addition. Exam tip: when \(n\) is even, divide it by 2 first to calculate faster.
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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