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Find the sum of all natural numbers from 1 to 25.

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Answer and explanation

Correct answer: 325

The numbers from 1 to 25 are the first 25 natural numbers, so the standard sum formula applies: S_n = n(n + 1)/2. Taking n = 25, we get S_25 = 25 × 26 / 2. Since 26 divided by 2 is 13, the product becomes 25 × 13 = 325. Therefore, option B is correct. Pairing the terms also confirms the result: 1 + 25 = 26, 2 + 24 = 26, and so on; there are 12 such pairs, with the middle term 13 left over, giving 12 × 26 + 13 = 325. The other options arise from arithmetic or pairing errors.

Related tags

MathematicsSequencesNatural-NumbersSumSum Of First N Natural NumbersSequences And ProgressionsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

325

Why is this the correct answer?

The numbers from 1 to 25 are the first 25 natural numbers, so the standard sum formula applies: S_n = n(n + 1)/2. Taking n = 25, we get S_25 = 25 × 26 / 2. Since 26 divided by 2 is 13, the product becomes 25 × 13 = 325. Therefore, option B is correct. Pairing the terms also confirms the result: 1 + 25 = 26, 2 + 24 = 26, and so on; there are 12 such pairs, with the middle term 13 left over, giving 12 × 26 + 13 = 325. The other options arise from arithmetic or pairing errors.

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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