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The sum of first n odd natural numbers is ______.

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Question

The sum of first n odd natural numbers is ______.

Options

  • 2n + 1

  • n2 

  • n2 – 1

  • n2 + 1

MCQ
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Solution

The sum of first n odd natural numbers is n2.

Explanation:

Sum of first n odd natural numbers

= `sum(2n - 1) = 2sumn - n`

= `(2 xx n(n + 1))/2 - n`

= n(n + 1) – n

= n2 + n – n

= n2 

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 89]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 12. | Page 89

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