zaylan3
contestada

INSTRUCTIONS :
Show that the conjecture is false by finding a counterexample. Change the value of n below in order to make it a counterexample.
"For every integer n, n3 is positive."

n=1

n=−3

n=2

n=5

n= ?

Respuesta :

for all positive integers (like n = 1, 2 or 5) the conjecture holds true but not for negative values like if n = -3 then the result will not become positive, because:

[tex]{( - 3)}^{3} = ( - 3) \times ( - 3) \times ( - 3) = - 27[/tex]

which is not positive.