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Express 81 as the sum of first nine consecutive odd numbers. - Mathematics

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Question

Express 81 as the sum of first nine consecutive odd numbers.

Sum

Solution

The first nine consecutive odd numbers are 1, 3, 5, 7, 9, 11, 13, 15 and 17.

We have: 81

As, 81 is a perfect square.

So, 81 = (9)2

= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17

= Sum of first nine consecutive odd numbers.

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 93]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 90. | Page 93

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