What is obtained by subtracting the sum of the first (62) natural numbers from the sum of the first (67) natural numbers?
Answer and explanation
Correct answer: 325
When the sum of the first 62 natural numbers is subtracted from the sum of the first 67 natural numbers, only the terms from 63 to 67 remain. Thus, \(63+64+65+66+67=325\). Hence, option B is correct. A value of 315 would result from an incorrect addition of these terms. Exam tip: the difference of two consecutive partial sums equals the sum of the intervening terms.
Frequently asked questions
What is the correct answer to this question?
325
Why is this the correct answer?
When the sum of the first 62 natural numbers is subtracted from the sum of the first 67 natural numbers, only the terms from 63 to 67 remain. Thus, \(63+64+65+66+67=325\). Hence, option B is correct. A value of 315 would result from an incorrect addition of these terms. Exam tip: the difference of two consecutive partial sums equals the sum of the intervening terms.
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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