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Class 9 Mathematics Sequences and Progressions Sum of first n natural numbersExpertLevel 59

If (S_{n+3}-S_{n-3}=615), what will be the value of (n)?

Answer and explanation

Correct answer: (102)

The difference is ((n-2)+(n-1)+n+(n+1)+(n+2)+(n+3)=6n+3), and (6n+3=615) gives (n=102). Form the sum of the six middle terms.

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mathsequencesnatural-numberssum

Frequently asked questions

What is the correct answer to this question?

(102)

Why is this the correct answer?

The difference is ((n-2)+(n-1)+n+(n+1)+(n+2)+(n+3)=6n+3), and (6n+3=615) gives (n=102). Form the sum of the six middle 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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