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प्रश्न
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
उत्तर
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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संबंधित प्रश्न
Observe the following pattern and find the missing digits.
112 = 121
1012 = 10201
10012 = 1002001
1000012 = 1 ______ 2 ______ 1
100000012 = ______
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
To find pattern:
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Express 49 as the sum of 7 odd numbers.
Express 121 as the sum of 11 odd numbers.
How many numbers lie between squares of the given numbers?
12 and 13
How many numbers lie between squares of the given numbers?
25 and 26
Square of the number 7 is _________
Is 24 a square number?
The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are ______.
Express 81 as the sum of first nine consecutive odd numbers.