MathDB

4

Part of PEN I Problems

Problems(1)

I 4

Source:

5/25/2007
Show that for all positive integers nn, ⌊n+n+1⌋=⌊4n+1⌋=⌊4n+2⌋=⌊4n+3⌋.\lfloor \sqrt{n}+\sqrt{n+1}\rfloor =\lfloor \sqrt{4n+1}\rfloor =\lfloor \sqrt{4n+2}\rfloor =\lfloor \sqrt{4n+3}\rfloor.
floor function