Автор - SupernaturalFun

В геометрической прогрессии b1 = 16 , b2=8
Найдите : q , b6 , S5

Ответ

Автор - julyap
b _{1} =16 \ b _{2} =8 \ q= frac{b _{2} }{b _{1} } = frac{8}{16} = frac{1}{2}  \ b _{6} =b ^{1} *q ^{5} =16* frac{1}{32} = frac{1}{2}  \  \  S _{5} = frac{b _{1} *(1-q ^{5} )}{1-q} = frac{16*(1- frac{1}{32}) }{1- frac{1}{2} }= frac{16*( frac{32-1}{32}) }{ frac{1}{2} }  = frac{16* frac{31}{32} }{ frac{1}{2} } = frac{2*31}{ frac{1}{2} } = frac{62}{0.5 } =124

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