Question

How many natural numbers lie between 18 square and 19 square?

Answer 1

36 natural numbers lie between 18 squared and 19 squared.

Step-by-step explanation:

To find : How many natural numbers lie between 18 square and 19 square?

Solution :

The square of numbers is

$18^2 = 324$

$19^2 = 361$

The natural numbers between $18^2$ and $19^2$ are the numbers in the sequence

325, 326,…….., 359, 360  this form an A.P

Where, first term is a=325

Common difference is d=1

Last term is l=360

Using last term formula,

$l=a+(n-1)d$

$360=325+(n-1)1$

$n-1=360-325$

$n-1=35$

$n=36$

Therefore, 36 natural numbers lie between 18 squared and 19 squared.

#Learn more

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Answer 2

Answer:

36 is the answer

Step-by-step explanation:

18² and 19²

18+19-1

37-1

36

Thus , 36 natural number lie between 18 square and 19 square .