What is the sum of the first (52) natural numbers?
Answer and explanation
Correct answer: 1378
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{52}=\frac{52\times53}{2}=26\times53=1378\). Hence, option B is correct. Option A is a close distractor because it equals the sum up to \(51\): \(\frac{51\times52}{2}=1326\). Exam tip: for the sum of consecutive natural numbers from 1 to \(n\), use \(n(n+1)/2\).
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 \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{52}=\frac{52\times53}{2}=26\times53=1378\). Hence, option B is correct. Option A is a close distractor because it equals the sum up to \(51\): \(\frac{51\times52}{2}=1326\). Exam tip: for the sum of consecutive natural numbers from 1 to \(n\), use \(n(n+1)/2\).
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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