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What will be the sum of natural numbers from (40) to (80)?

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Answer and explanation

Correct answer: 2460

There are \(80-40+1=41\) terms from 40 to 80. Therefore, the sum is \(\frac{41(40+80)}{2}=41\times 60=2460\). Option 2420 may result from an error in counting the terms or finding the average. Exam tip: the number of integers from a first value to a last value is always \(\text{last}-\text{first}+1\).

Related tags

Arithmetic ProgressionNatural NumbersSum Of TermsRange SumSequences And Progressions

Frequently asked questions

What is the correct answer to this question?

2460

Why is this the correct answer?

There are \(80-40+1=41\) terms from 40 to 80. Therefore, the sum is \(\frac{41(40+80)}{2}=41\times 60=2460\). Option 2420 may result from an error in counting the terms or finding the average. Exam tip: the number of integers from a first value to a last value is always \(\text{last}-\text{first}+1\).

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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