Odpowiedź:
5.
a ) = 5[tex]^{2015}*( 1 + 5 + 25) = 31*5^{2015}[/tex]
b ) = [tex]6^{98}*(36 - 2*6 + 10 ) = 34*6^{98} = 17*2*6^{98}[/tex]
c ) = 9*[tex]3^n - 4*2^n + 3^n - 2^n =[/tex] [tex]10*3^n - 5*2^n = 10*3^n - 5*2*2^{n -1} = 10*( 3^n - 2^{n -1})[/tex]
6.
= [tex]\frac{2*(3 + \sqrt{5})+ 2*(3 - \sqrt{5} ) }{3^2 - 5} =\frac{12}{4} = 3[/tex]
Szczegółowe wyjaśnienie:
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Odpowiedź:
5.
a ) = 5[tex]^{2015}*( 1 + 5 + 25) = 31*5^{2015}[/tex]
b ) = [tex]6^{98}*(36 - 2*6 + 10 ) = 34*6^{98} = 17*2*6^{98}[/tex]
c ) = 9*[tex]3^n - 4*2^n + 3^n - 2^n =[/tex] [tex]10*3^n - 5*2^n = 10*3^n - 5*2*2^{n -1} = 10*( 3^n - 2^{n -1})[/tex]
6.
= [tex]\frac{2*(3 + \sqrt{5})+ 2*(3 - \sqrt{5} ) }{3^2 - 5} =\frac{12}{4} = 3[/tex]
Szczegółowe wyjaśnienie: