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Class 9MathematicsSequences and ProgressionsSum of first n natural numbersHardLevel 61
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For which (n) will the sum of the first (n) natural numbers exceed (3000) for the first time?

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Answer and explanation

Correct answer: (77)

(S_{76}=2926) and (S_{77}=3003), so the sum first exceeds (3000) at (n=77). In boundary questions, check the two nearby sums.

Related tags

MathSequencesNatural-NumbersSum

Frequently asked questions

What is the correct answer to this question?

(77)

Why is this the correct answer?

(S_{76}=2926) and (S_{77}=3003), so the sum first exceeds (3000) at (n=77). In boundary questions, check the two nearby sums.

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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