A student added natural numbers from (1) to (29). What sum will be obtained?
Answer and explanation
Correct answer: 435
Use the formula \(S_n=\frac{n(n+1)}{2}\) for the sum of the first \(n\) natural numbers. Thus, \(S_{29}=\frac{29\times30}{2}=435\). Therefore, 435 is the correct answer. A value such as 425 results from an incorrect calculation while applying the formula. Exam tip: for a sum from 1 to \(n\), use \(\frac{n(n+1)}{2}\).
Frequently asked questions
What is the correct answer to this question?
435
Why is this the correct answer?
Use the formula \(S_n=\frac{n(n+1)}{2}\) for the sum of the first \(n\) natural numbers. Thus, \(S_{29}=\frac{29\times30}{2}=435\). Therefore, 435 is the correct answer. A value such as 425 results from an incorrect calculation while applying the formula. Exam tip: for a sum from 1 to \(n\), use \(\frac{n(n+1)}{2}\).
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.