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Jika tiga bilangan q, s, dan t membentuk barisan geometri, maka q + 2 s + t q + s ​ = ...

Jika tiga bilangan q, s, dan t membentuk barisan geometri, maka 

  1. fraction numerator straight s over denominator straight q plus straight t end fraction
     

  2. fraction numerator straight q over denominator straight s plus straight t end fraction

  3. fraction numerator straight t over denominator straight q plus straight s end fraction

  4. fraction numerator straight s over denominator straight s plus straight t end fraction

  5. fraction numerator straight s over denominator straight q plus straight s end fraction

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Y. Laksmi

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Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

q, s, dan t membentuk barisan geometri, maka maka

q, s, dan t membentuk barisan geometri, maka

s over q equals t over s
straight s squared equals straight q. straight t rightwards double arrow straight q equals straight s squared over straight t 
maka

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight q plus straight s over denominator straight q plus 2 straight s plus straight t end fraction end cell equals cell fraction numerator begin display style straight s squared over straight t end style plus straight s over denominator straight s squared over straight t plus 2 straight s plus straight t end fraction end cell row blank equals cell fraction numerator straight s squared plus st over denominator straight s squared plus 2 st plus straight t squared end fraction end cell row blank equals cell fraction numerator straight s open parentheses straight s plus straight t close parentheses over denominator open parentheses straight s plus straight t close parentheses squared end fraction end cell row blank equals cell fraction numerator straight s over denominator straight s plus straight t end fraction end cell end table

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