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Question
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
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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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The squares of which of the following would be odd numbers?
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Using the given pattern, find the missing numbers.
12 + 22 + 22 = 32
22 + 32 + 62 = 72
32 + 42 + 122 = 132
42 + 52 + _ 2 = 212
52 + _ 2 + 302 = 312
62 + 72 + _ 2 = __2
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To find pattern:
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Express 121 as the sum of 11 odd numbers.
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