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Jumat, 19 Oktober 2012

Barisan dan Deret #1


latex \bf{Barisan\ dan\ Deret\ Aritmatika}
latex \bf{Barisan\ dan\ Deret\ Geometri}
latex Contoh\ barisan
latex 2,\ 5,\ 8,\ 11,\ ...
latex Contoh\ barisan
latex 2,\ 6,\ 18,\ 54,\ ...
latex Contoh\ deret
latex 2+5+8+11+...
latex Contoh\ deret
latex 2+6+18+54+...
latex Bentuk\ baku
latex a,\ a+b,\ a+2b,\ a+3b,\ ...
latex Bentuk\ baku
latex a,\ ar,\ ar^2,\ ar^3,\ ...
latex Bentuk\ lain
latex a-b,\ a,\ a+b,\ a+2b,\ ...
latex Bentuk\ lain
latex \frac{a}{r},\ a,\ ar,\ ar^2,\ ...
latex Suku\ke-n
latex U_{n}=a+(n-1)b
latex Suku\ke-n
latex U_{n}=a.r^{n-1}
latex "Beda"
latex b=U_{n}-U_{n-1}
latex "Rasio"
latex r=\frac{U_{n}}{U_{n-1}}
latex Suku\ tengah
latex 2U_{t}=U_{1}+U_{n}
latex Suku\ tengah
latex {U_{t}}^2=U_{1}.U_{n}
latex Jumlah\ n\ suku
latex S_{n}=\frac{n(U_{1}+U_{n})}{2}
latex Jumlah\ n\ suku
latex S_{n}=\frac{a(r^n-1)}{r-1},\quad r>1
latex S_{n}=\frac{n\big(2a+(n-1)b\big)}{2}
latex S_{n}=\frac{a(1-r^n)}{1-r},\quad r<1
latex Sisipan\ k\ suku
latex b\acute {}=\frac{b}{k+1}
latex Sisipan\ k\ suku
latex r\acute {}=\sqrt[k+1]{r}
latex Rumus\ khusus
latex U_{m}-U_{n}=(m-n)b,\quad m>n
latex Rumus\ khusus
latex r^{m-n}=\frac{U_{m}}{U_{n}},\quad m>n
latex U_{n}=S_{n}-S_{n-1}
latex U_{n}=S_{n}-S_{n-1}
 latex \frac{S_{n\acute {}}}{S_{n}}=\frac{n\acute {}}{S_{n}}
 latex \frac{S_{n\acute {}}}{S_{n}}=\frac{n\acute {}}{S_{n}}


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