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Jika tiga bilangan x, y, dan z membentuk barisan geometri, maka fraction numerator 1 over denominator straight x minus straight y end fraction fraction numerator 1 over denominator straight y minus straight z end fraction=...

  1. 1 over straight x

  2. negative 1 over straight y

  3. 1 over straight z

  4. fraction numerator 1 over denominator straight x plus straight z end fraction

  5. fraction numerator 1 over denominator straight x minus straight z end fraction

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Penyelesaian=

Barisan geometri: x,y,z

space straight U subscript 1 space equals straight y  straight U subscript 2 space equals space straight y space equals space straight x. straight r space  straight U subscript 3 space end subscript equals space straight z space equals straight x. straight r    fraction numerator 1 over denominator straight x minus 7 end fraction minus fraction numerator 1 over denominator straight y minus straight z end fraction equals fraction numerator straight y minus straight z minus left parenthesis straight x minus straight y right parenthesis over denominator left parenthesis straight x minus straight y right parenthesis left parenthesis straight y minus straight z right parenthesis end fraction  equals fraction numerator straight y minus straight z minus straight x plus straight y over denominator left parenthesis straight x minus straight y right parenthesis left parenthesis straight y minus straight z right parenthesis end fraction  equals fraction numerator negative straight x plus 2 straight y minus straight z over denominator left parenthesis straight x minus straight y right parenthesis left parenthesis straight y minus straight z right parenthesis end fraction  equals fraction numerator negative straight x plus 2 xr minus xr squared over denominator left parenthesis straight x minus xr right parenthesis left parenthesis xr minus xr squared right parenthesis end fraction  equals fraction numerator up diagonal strike straight x space end strike space left parenthesis negative 1 plus 2 straight r minus straight r squared right parenthesis over denominator up diagonal strike straight x space end strike left parenthesis 1 minus straight r right parenthesis left parenthesis xr minus xr squared right parenthesis end fraction  equals fraction numerator up diagonal strike negative left parenthesis straight r minus 1 right parenthesis end strike left parenthesis straight r minus 1 right parenthesis over denominator up diagonal strike negative left parenthesis straight r minus 1 right parenthesis end strike space xr left parenthesis straight r minus 1 right parenthesis end fraction  equals fraction numerator up diagonal strike left parenthesis straight r minus 1 right parenthesis end strike over denominator negative xr up diagonal strike left parenthesis straight r minus 1 right parenthesis end strike end fraction  equals negative 1 over xr equals 1 over straight y

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