Odpowiedź:
an=n^ ^ 2^ * (n - 3)
an=0<=>n^ ^ 2^ * (n - 3) = 0 <=> n = 3 , n > 0
Odp. a * 3 = O
b)
an=(n^ ^ 2-49)^ * (n ^ 2 - 6n + 8)
an=0<=> (n ^ 2 - 49) = 0 lub (n ^ 2 - 6n + 8) = C
n ^ 2 - 49 = 0 <=>(n-7)^ * (n+7)=0<=>n=7,bo n:
n ^ 2 - 6n + 8 = 0
delta=36-4^ * 1^ * 8 = 36 - 32 = 4p(delty) = 2
n = [6 - 2] / 2 = 4/2 = 2
lub n = [6 + 2) / 2 = 8/2 = 4
Odp. a2,a4,a7
c)
an = n ^ 3 - 4n ^ 2 + 4n =n^ * (n^ ^ 2-4n+4)=n^ * (n-2)^ ^ 2
an=0 Leftrightarrow n^ * (n - 2) ^ 2 =0 Leftrightarrow n=2,bo n>0
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Odpowiedź:
an=n^ ^ 2^ * (n - 3)
an=0<=>n^ ^ 2^ * (n - 3) = 0 <=> n = 3 , n > 0
Odp. a * 3 = O
b)
an=(n^ ^ 2-49)^ * (n ^ 2 - 6n + 8)
an=0<=> (n ^ 2 - 49) = 0 lub (n ^ 2 - 6n + 8) = C
n ^ 2 - 49 = 0 <=>(n-7)^ * (n+7)=0<=>n=7,bo n:
n ^ 2 - 6n + 8 = 0
delta=36-4^ * 1^ * 8 = 36 - 32 = 4p(delty) = 2
n = [6 - 2] / 2 = 4/2 = 2
lub n = [6 + 2) / 2 = 8/2 = 4
Odp. a2,a4,a7
c)
an = n ^ 3 - 4n ^ 2 + 4n =n^ * (n^ ^ 2-4n+4)=n^ * (n-2)^ ^ 2
an=0 Leftrightarrow n^ * (n - 2) ^ 2 =0 Leftrightarrow n=2,bo n>0