How much will be the sum of the first (14) natural numbers?
Answer and explanation
Correct answer: 105
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here, \(n=14\), so \(\frac{14\times15}{2}=7\times15=105\). Therefore, the correct answer is 105. The value 110 is not the sum of the numbers from 1 to 14. Exam tip: use \(n(n+1)/2\) and simplify the even factor with 2 first.
Frequently asked questions
What is the correct answer to this question?
105
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Here, \(n=14\), so \(\frac{14\times15}{2}=7\times15=105\). Therefore, the correct answer is 105. The value 110 is not the sum of the numbers from 1 to 14. Exam tip: use \(n(n+1)/2\) and simplify the even factor with 2 first.
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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