What is the sum of natural numbers from (26) to (50)?
Answer and explanation
Correct answer: 950
To find the sum from 26 to 50, subtract the sum of natural numbers up to 25 from the sum up to 50. Thus, \\(S_{50}-S_{25}=\frac{50\times51}{2}-\frac{25\times26}{2}=1275-325=950\\). Therefore, the correct answer is 950. An option such as 975 can result from using an incorrect number of terms or lower limit. Exam tip: For a range sum, always subtract the sum up to one less than the lower limit.
Frequently asked questions
What is the correct answer to this question?
950
Why is this the correct answer?
To find the sum from 26 to 50, subtract the sum of natural numbers up to 25 from the sum up to 50. Thus, \\(S_{50}-S_{25}=\frac{50\times51}{2}-\frac{25\times26}{2}=1275-325=950\\). Therefore, the correct answer is 950. An option such as 975 can result from using an incorrect number of terms or lower limit. Exam tip: For a range sum, always subtract the sum up to one less than the lower limit.
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.
