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प्रश्न
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
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उत्तर
From the pattern, we can say that the difference between the squares of two consecutive numbers is the sum of the numbers itself.
In a formula:
`(n+1)^2-(n)^2=(n+1)+n`
1112 − 1092 = 1112 − 1102 + 1102 − 1092
= (111 + 110) + (110 + 109)
= 440
संबंधित प्रश्न
Write a Pythagorean triplet whose one member is 14.
What will be the units digit of the square of the following number?
52698
What will be the units digit of the square of the following number?
12796
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1002 − 992
Which of the following triplet is pythagorean?
(18, 80, 82)
Which of the following number is squares of even number ?
256
Which of the following number square of even number?
4489
Find the squares of the following numbers using diagonal method:
98
The sum of first n odd natural numbers is ______.
If x and y are integers such that x2 > y2, then x3 > y3.
