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Diketahui barisan geometri: 27 5 , 9 5 , 3 5 , .... , 1215 banyak suku barisan tersebut adalah ...

Diketahui barisan geometri: $\frac{5}{27}, \frac{5}{9}, \frac{5}{3}, ...., 1215$ banyak suku barisan tersebut adalah ...

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$straight a equals 5 over 27 semicolon space straight r equals fraction numerator begin display style 5 over 9 end style over denominator begin display style 5 over 27 end style end fraction equals 5 over 9 straight x 5 over 27 equals 3 ar to the power of straight n minus 1 end exponent equals straight U subscript straight n 5 over 27. left parenthesis 3 right parenthesis to the power of straight n minus 1 end exponent equals 1215 5 over 27.3 to the power of straight n.1 third equals 1215 5 over 81.3 to the power of straight n equals 1215 3 to the power of straight n space equals space 1215 space straight x space 81 over 5 3 to the power of straight n space equals space 243 space straight x space 81 3 to the power of straight n space equals space 3 to the power of 5 space straight x space 3 to the power of 4 3 to the power of straight n space equals space 3 to the power of 9 left right double arrow straight n equals 9$