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Express the square numbers lying between 200 and 300 as the product of two consecutive natural numbers increased by 1 .
Given :
The given numbers are 200 and 300.
To do :
We have to express the square numbers lying between 200 and 300 as the product of two consecutive natural numbers increased by 1.
Solution :
Square numbers lying between 200 and 300 are,
$15^2 = 225$, $16^2 = 256$ and $17^2 = 289$ .
225 can be expressed as $15 \times 15$
256 can be expressed as $16 \times 16$.
289 can be expressed as $17 \times 17$.
225 cannot be expressed as the product of two consecutive natural numbers
increased by 1.
Similarly,
256 cannot be expressed as the product of two consecutive natural numbers increased by 1.
289 cannot be expressed as the product of two consecutive natural numbers increased by 1.
Updated on: 10-Oct-2022
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