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Without adding, find the sum: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 - Mathematics

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Question

Without adding, find the sum:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Sum

Solution

We know that the sum of first n odd natural numbers is n2.

Here, we have to find the sum of the first twelve odd natural numbers.

= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

= (12)2 

= 144

The first 5 are odd natural numbers.

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Chapter 6: Squares and Square Roots - Exercise 6.1 [Page 96]

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NCERT Mathematics [English] Class 8
Chapter 6 Squares and Square Roots
Exercise 6.1 | Q 7.3 | Page 96

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