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Class 9 Mathematics Sequences and Progressions Sum of first n natural numbersHardLevel 62

At which (n) will (S_n) first become greater than (20000)?

Answer and explanation

Correct answer: (200)

(S_{199}=19900) and (S_{200}=20100), so it first exceeds (20000) at (n=200). Checking nearby values is the safest method.

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mathsequencesnatural-numberssum

Frequently asked questions

What is the correct answer to this question?

(200)

Why is this the correct answer?

(S_{199}=19900) and (S_{200}=20100), so it first exceeds (20000) at (n=200). Checking nearby values is the safest method.

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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