A student solves (1) question on the first day and (1) more question each next day for (24) days. How many questions are solved in total?
Answer and explanation
Correct answer: 300
The numbers of questions solved each day are 1, 2, 3, ..., 24. Therefore, the required total is the sum of the first 24 natural numbers: \(S=\frac{24\times25}{2}=300\). Hence, 300 is correct. Values such as 288 or 324 can result from an incorrect calculation of the sum formula. Exam tip: the sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\).
Frequently asked questions
What is the correct answer to this question?
300
Why is this the correct answer?
The numbers of questions solved each day are 1, 2, 3, ..., 24. Therefore, the required total is the sum of the first 24 natural numbers: \(S=\frac{24\times25}{2}=300\). Hence, 300 is correct. Values such as 288 or 324 can result from an incorrect calculation of the sum formula. Exam tip: the sum of the first \(n\) natural numbers is \(\frac{n(n+1)}{2}\).
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
