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What is the difference between the sum of the first (58) natural numbers and the sum of the first (55) natural numbers?

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Answer and explanation

Correct answer: 171

When the sum of the first 55 natural numbers is subtracted from the sum of the first 58 natural numbers, only 56, 57, and 58 remain. Thus, the difference is 56 + 57 + 58 = 171. Option 174 is 3 too large. Exam tip: to find \(S_n-S_m\), add the terms from \(m+1\) to \(n\).

Related tags

MathematicsSequences And ProgressionsNatural NumbersSum Of Natural NumbersArithmetic Series

Frequently asked questions

What is the correct answer to this question?

171

Why is this the correct answer?

When the sum of the first 55 natural numbers is subtracted from the sum of the first 58 natural numbers, only 56, 57, and 58 remain. Thus, the difference is 56 + 57 + 58 = 171. Option 174 is 3 too large. Exam tip: to find \(S_n-S_m\), add the terms from \(m+1\) to \(n\).

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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