What will be the sum of the first (46) natural numbers?
Answer and explanation
Correct answer: 1081
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{46}=\frac{46\times47}{2}=23\times47=1081\). Hence, 1081 is correct. An option such as 1071 can result from an arithmetic error in multiplication or addition. Exam tip: for the sum of consecutive natural numbers, directly use \(\frac{n(n+1)}{2}\).
Frequently asked questions
What is the correct answer to this question?
1081
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). Therefore, \(S_{46}=\frac{46\times47}{2}=23\times47=1081\). Hence, 1081 is correct. An option such as 1071 can result from an arithmetic error in multiplication or addition. Exam tip: for the sum of consecutive natural numbers, directly 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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