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प्रश्न
The sum of first n odd natural numbers is n2.
विकल्प
True
False
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
The squares of which of the following would be odd numbers?
- 431
- 2826
- 7779
- 82004
Observe the following pattern and supply the missing number.
112 = 121
1012 = 10201
101012 = 102030201
10101012 = _____
____2 = 10203040504030201.
Without adding, find the sum:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
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 following numbers?
99 and 100
A number multiplied by _________ is called square of that number
1, 3, 6, _______, 15, _______, 28
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.
