What is the sum of the first (175) natural numbers?
Answer and explanation
Correct answer: 15400
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=175\), we get \(\frac{175\times176}{2}=175\times88=15400\). Therefore, option B is correct. Option A can result from an error in multiplication or halving. Exam tip: always remember to use \(n+1\) in the formula.
Frequently asked questions
What is the correct answer to this question?
15400
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\). Substituting \(n=175\), we get \(\frac{175\times176}{2}=175\times88=15400\). Therefore, option B is correct. Option A can result from an error in multiplication or halving. Exam tip: always remember to use \(n+1\) in the formula.
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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