Question

How many numbers lie between the square of n and (square of n +1).
The person who will give the best answer I will mark him/ her as the brainliest.

Answer 1

Answer:

Step-by-step explanation:

let n be 2

consider 2^2=4

and n+1=2+1=3

n+1)^2=3^2=9

number of numbers between 4 and 9 are 5,6,7,8 i.e.,4

now if u take n=3

3^2=9

(3+1)^2=16

number of numbers between 9 and 16 are 10,11,12,13,14,15 i.e.,6

it depends on the value of n

and between 4^2=16

(4+1)^2=25

between 16 and 25 17,18,19,20,21,22,23,24 i.e.,8

so the number of numbers between n^2 and (n+1)^2=2n