How much will be the sum of the first (28) natural numbers?
Answer and explanation
Correct answer: 406
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{28}=\frac{28\times29}{2}=14\times29=406\). Hence, 406 is correct. A value such as 416 usually results from an error in multiplication or division. Exam tip: Cancel the even factor with 2 first to calculate quickly.
Frequently asked questions
What is the correct answer to this question?
406
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{28}=\frac{28\times29}{2}=14\times29=406\). Hence, 406 is correct. A value such as 416 usually results from an error in multiplication or division. Exam tip: Cancel the even factor with 2 first to calculate quickly.
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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