What is the sum of the first (45) natural numbers?
Answer and explanation
Correct answer: 1035
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=45\), we get \(\frac{45\times46}{2}=45\times23=1035\). Therefore, 1035 is the correct answer. A value such as 1045 may result from an incorrect calculation using the formula. Exam tip: For the sum of consecutive natural numbers, use \(\frac{n(n+1)}{2}\).
Frequently asked questions
What is the correct answer to this question?
1035
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=45\), we get \(\frac{45\times46}{2}=45\times23=1035\). Therefore, 1035 is the correct answer. A value such as 1045 may result from an incorrect calculation using the formula. Exam tip: For the sum of consecutive natural numbers, 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.
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