Odpowiedź:
Szczegółowe wyjaśnienie:
[tex]a_n=\frac{2n}{n+1}[/tex]
[tex]a_1=\frac{2*1}{1+1} =\frac{2}{2} =1\\ a_2=\frac{2*2}{2+1} =\frac{4}{3} =1\frac{1}{3} \\ a_3=\frac{2*3}{3+1} =\frac{6}{4} =1\frac{1}{2} \\ a_4=\frac{2*4}{4+1} =\frac{8}{5} =1\frac{3}{5} \\ a_5=\frac{2*5}{5+1} =\frac{10}{6} =1\frac{4}{6} =1\frac{2}{3}[/tex]
[tex]a_n=\frac{n^2}{2n}[/tex]
[tex]a_1=\frac{1^2}{2*1}=\frac{1}{2} \\a_2=\frac{2^2}{2*2}=\frac{4}{4}=1 \\a_3=\frac{3^2}{2*3}=\frac{9}{6}=1\frac{3}{6}=1\frac{1}{2} \\a_4=\frac{4^2}{2*4}=\frac{16}{8} =2 \\a_5=\frac{5^2}{2*5}=\frac{25}{10} =2\frac{5}{10}=2\frac{1}{2}[/tex]
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Odpowiedź:
Szczegółowe wyjaśnienie:
[tex]a_n=\frac{2n}{n+1}[/tex]
[tex]a_1=\frac{2*1}{1+1} =\frac{2}{2} =1\\ a_2=\frac{2*2}{2+1} =\frac{4}{3} =1\frac{1}{3} \\ a_3=\frac{2*3}{3+1} =\frac{6}{4} =1\frac{1}{2} \\ a_4=\frac{2*4}{4+1} =\frac{8}{5} =1\frac{3}{5} \\ a_5=\frac{2*5}{5+1} =\frac{10}{6} =1\frac{4}{6} =1\frac{2}{3}[/tex]
[tex]a_n=\frac{n^2}{2n}[/tex]
[tex]a_1=\frac{1^2}{2*1}=\frac{1}{2} \\a_2=\frac{2^2}{2*2}=\frac{4}{4}=1 \\a_3=\frac{3^2}{2*3}=\frac{9}{6}=1\frac{3}{6}=1\frac{1}{2} \\a_4=\frac{4^2}{2*4}=\frac{16}{8} =2 \\a_5=\frac{5^2}{2*5}=\frac{25}{10} =2\frac{5}{10}=2\frac{1}{2}[/tex]