Quiz LawZ - Universityku

Jumlah Deret Geometri Tak Hingga dari deretan 1, 1/5, 1/25 …

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Quiz LawZ

`Deret Geometri tak hingga

1, 1/5, 1/25

$rm{a = 1 }$

$rm{ r = frac{ frac{1}{5} }{1} }$

$rm{ r = frac{1}{5} ÷ frac{1}{1}}$

$rm{ r = frac{1}{5} × frac{1}{1}}$

$rm{ r = frac{1}{5} }$

Deret tak hingga

$rm{S_{∞} = frac{a}{1 : - : r} }$

$rm{S_{∞} = frac{1}{1 : - : frac{1}{5} } }$

$rm{S_{∞} = frac{1}{ frac{1}{1} : - : frac{1}{5} } }$

$rm{S_{∞} = frac{1}{ frac{5}{5} : - : frac{1}{5} } }$

$rm{S_{∞} = frac{1}{ frac{4}{5} } }$

$rm{S_{∞} = frac{1}{1} ÷ frac{4}{5}}$

$rm{S_{∞} = frac{1}{1} × frac{5}{4}}$

$rm{S_{∞} = frac{5}{4 } }$

Penjelasan dengan langkah-langkah:

a = 1

r = ⅕

$sf : s infty = frac{a}{1 - r}$

$sf : s infty = frac{1}{1 - frac{1}{5} }$

$sf : s infty = frac{1}{ frac{4}{5} }$

$sf : s infty = 1 times frac{5}{4}$

$sf : s infty = frac{5}{4}$