A student added all natural numbers from (1) to (10). What sum will he get?
Answer and explanation
Correct answer: 55
The sum of the first 10 natural numbers is found using \(S_n = \frac{n(n+1)}{2}\). Here, \(n=10\), so \(S_{10}=\frac{10\times11}{2}=55\). Therefore, 55 is correct. The value 45 is the sum from 1 to 9, so it is a close but incorrect option. Exam tip: For the sum from 1 to \(n\), use \(\frac{n(n+1)}{2}\) directly.
Frequently asked questions
What is the correct answer to this question?
55
Why is this the correct answer?
The sum of the first 10 natural numbers is found using \(S_n = \frac{n(n+1)}{2}\). Here, \(n=10\), so \(S_{10}=\frac{10\times11}{2}=55\). Therefore, 55 is correct. The value 45 is the sum from 1 to 9, so it is a close but incorrect option. Exam tip: For the sum from 1 to \(n\), use \(\frac{n(n+1)}{2}\) directly.
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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