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The sum of first n natural numbers is given by 12n2+12n. Find the sum of first 11 natural numbers.

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Question

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.

Sum
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Solution

Given, sum of first n natural numbers = `1/2n^2 + 1/2n`

Sum of first 11 natural numbers = `1/2(11)^2 + 1/2(11)`  ...[Put n = 11]

= `1/2 xx 121 + 11/2`  

= `121/2 + 11/2`

= `132/2`

= 66

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Chapter 10: Algebraic Expressions - Exercise [Page 326]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 10 Algebraic Expressions
Exercise | Q 86. (ii) | Page 326

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