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Suatu space barisan space geometri space memiliki space suku space ke minus 4 equals 5 space dan space suku space ke minus 5 equals 1 fifth. space  Suku space ke minus 2 space adalah....

  1. 630

  2. 475

  3. 225

  4. 175

  5. 125

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

bold TIDAK bold space bold ADA bold space bold JAWABAN bold space bold YANG bold space bold TEPAT

Barisan space Geometri space  Suku space ke minus straight n space equals straight U subscript straight n equals ar to the power of straight n minus 1 end exponent    Formula space di space atas space akan space dipakai space dalam space penyelesaian space soal space  straight U subscript 4 equals ar to the power of 4 minus 1 end exponent rightwards arrow 5 equals ar cubed  straight U subscript 5 equals ar to the power of 5 minus 1 end exponent rightwards arrow 1 fifth equals ar to the power of 4    ar to the power of 4 over ar cubed equals fraction numerator begin display style 1 fifth end style over denominator 5 end fraction  straight r space equals 1 over 25  straight r space equals 5 to the power of negative 2 end exponent    Substitusikan space straight r equals 5 to the power of negative 2 end exponent space ke space straight U subscript 4 space maka space colon  straight U subscript 4 equals ar cubed  5 equals straight a open parentheses 5 to the power of negative 2 end exponent close parentheses cubed  5 equals straight a open parentheses 5 to the power of negative 6 end exponent close parentheses  5 over 5 to the power of negative 6 end exponent equals straight a  5 to the power of 7 equals straight a    Sehingga space straight U subscript 2 equals ar equals open parentheses 5 to the power of 7 close parentheses. open parentheses 5 to the power of negative 2 end exponent space close parentheses equals 5 to the power of 5 space equals 3.125

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