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प्रश्न
The sum of first n odd natural numbers is n2.
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
Given: First n odd natural numbers
Odd natural numbers will be = 2n – 1
As we know, sum of odd natural numbers
= `(2 xx n xx (n + 1))/2 - n`
= n(n + 1) – n
= n2 + n – n
= n2
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संबंधित प्रश्न
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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Without adding find the sum:
1 + 3 + 5 + 7 + 9
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Express 49 as the sum of 7 odd numbers.
Square of the number 7 is _________
A number multiplied by _________ is called square of that number
Fill in the blank box.
Express 81 as the sum of first nine consecutive odd numbers.
The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two squares.
