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Jika u 1 ​ , u 2 ​ , u 3 ​ , ... adalah barisan geometri yang memenuhi u 3 ​ − u 6 ​ = x , dan u 2 ​ − u 4 ​ = y , makax/y= ....

Jika  ... adalah barisan geometri yang memenuhi , dan , maka x/y= .... 

  1. begin mathsize 14px style open parentheses straight r cubed minus straight r squared minus straight r close parentheses divided by open parentheses straight r minus 1 close parentheses end style

  2. begin mathsize 14px style open parentheses straight r cubed minus straight r squared plus straight r close parentheses divided by open parentheses straight r minus 1 close parentheses end style

  3. begin mathsize 14px style open parentheses straight r cubed plus straight r squared plus straight r close parentheses divided by open parentheses straight r plus 1 close parentheses end style

  4. begin mathsize 14px style open parentheses straight r cubed plus straight r squared minus straight r close parentheses divided by open parentheses straight r minus 1 close parentheses end style

  5. begin mathsize 14px style open parentheses straight r cubed minus straight r squared plus straight r close parentheses divided by open parentheses straight r plus 1 close parentheses end style

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

begin mathsize 14px style straight x over straight y equals fraction numerator straight u subscript 3 minus straight u subscript 6 over denominator straight u subscript 2 minus straight u subscript 4 end fraction  straight x over straight y equals fraction numerator ar squared minus ar to the power of 5 over denominator ar minus ar cubed end fraction  straight x over straight y equals fraction numerator ar squared open parentheses 1 minus straight r cubed close parentheses over denominator ar open parentheses 1 minus straight r squared close parentheses end fraction  straight x over straight y equals fraction numerator straight r open parentheses 1 minus straight r close parentheses open parentheses 1 plus straight r plus straight r squared close parentheses over denominator open parentheses 1 minus straight r close parentheses open parentheses 1 plus straight r close parentheses end fraction  straight x over straight y equals fraction numerator straight r open parentheses 1 plus straight r plus straight r squared close parentheses over denominator 1 plus straight r end fraction equals fraction numerator straight r plus straight r squared plus straight r cubed over denominator 1 plus straight r end fraction end style

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