Properties of Square - Difference of Consecutive Numbers
Properties of Square - Difference of Consecutive Numbers
Property :
For every natural number n,
i.e., the difference of squares of two consecutive natural numbers is equal to their sum
Proof: For any natural number n, we have
ILLUSTRATION:
etc.
Property:
Between the squares of two consecutive i.e. n² and (n+1), there are 2n non square numbers.
Illustration: The number of non square numbers that lie between the square of 8 and 9 = 8 X 2 = 16
Without actual squaring find the value of | |||
| Right Option : D | |||
| View Explanation | |||
Find the difference in the squares of 512 and 513. | |||
| Right Option : B | |||
| View Explanation | |||
How many numbers lie between square of 22 and 23? | |||
| Right Option : B | |||
| View Explanation | |||
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