What is half of the sum of the first (24) natural numbers?
Answer and explanation
Correct answer: 150
The sum of the first 24 natural numbers is \(S_{24}=\frac{24\times25}{2}=300\). Half of this sum is \(300\div2=150\), so 150 is correct. Values such as 140 or 160 do not result from halving the correct total. Exam tip: first use \(\frac{n(n+1)}{2}\) to find the sum, then take the required fraction of it.
Frequently asked questions
What is the correct answer to this question?
150
Why is this the correct answer?
The sum of the first 24 natural numbers is \(S_{24}=\frac{24\times25}{2}=300\). Half of this sum is \(300\div2=150\), so 150 is correct. Values such as 140 or 160 do not result from halving the correct total. Exam tip: first use \(\frac{n(n+1)}{2}\) to find the sum, then take the required fraction of it.
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
