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How much is the sum of natural numbers from (51) to (60)?

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Answer and explanation

Correct answer: 555

There are 10 consecutive numbers from 51 to 60. Their average is \(\frac{51+60}{2}=55.5\), so the sum is \(10\times55.5=555\). Option 545 is incorrect because it does not result from the correct average of these 10 numbers. Exam tip: for consecutive terms, use \(\text{number of terms}\times\text{average of first and last terms}\).

Related tags

Sequences And ProgressionsNatural NumbersConsecutive IntegersArithmetic ProgressionSum Of Terms

Frequently asked questions

What is the correct answer to this question?

555

Why is this the correct answer?

There are 10 consecutive numbers from 51 to 60. Their average is \(\frac{51+60}{2}=55.5\), so the sum is \(10\times55.5=555\). Option 545 is incorrect because it does not result from the correct average of these 10 numbers. Exam tip: for consecutive terms, use \(\text{number of terms}\times\text{average of first and last terms}\).

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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