yabu433
yabu433 yabu433
  • 17-10-2021
  • Mathematics
contestada

show that the difference between any two consecutive square number in an odd number ​

Respuesta :

Soore
Soore Soore
  • 17-10-2021

Step-by-step explanation:

4²=16

5²=25

25-16=9

9 is an odd number.

Answer Link
Vitor23
Vitor23 Vitor23
  • 17-10-2021

Any odd integer m is in the form

m=2k+1.

Let n and n+1 be consecutive integers. Then,

[tex](n+1)^2-n^2=n^2+2n+1-n^2=2n+1[/tex]

Answer Link

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