Wyznacz ciąg arytmetyczny an
a1 + a2= 7
a1* a2=10
[tex[/tex
a1 = 7-a2
(7-a2)*a2=10
-a2² + 7a2 - 10 = 0
a2² - 7a2 + 10 = 0
Δ = 49 - 40 = 9
x1 = (7+3)/2 = 5
x2 = (7 -3)/2 = 2
a1 = 2, a2 = 5, q=3 lub a1=5, a2=2, q=-3
a(n) = 2 + 3*(n-1) lub a(n) = 5 - 3*(n-1)
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[tex[/tex
a1 + a2= 7
a1* a2=10
a1 = 7-a2
(7-a2)*a2=10
-a2² + 7a2 - 10 = 0
a2² - 7a2 + 10 = 0
Δ = 49 - 40 = 9
x1 = (7+3)/2 = 5
x2 = (7 -3)/2 = 2
a1 = 2, a2 = 5, q=3 lub a1=5, a2=2, q=-3
a(n) = 2 + 3*(n-1) lub a(n) = 5 - 3*(n-1)