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Pertanyaan

Pada deret geometri U 3 t ​ . U 5 t + 2 ​ . U 10 t + 7 ​ = 125 dan U 3 ​ . U 6 ​ . U 9 ​ . U 12 ​ . U 15 ​ = 32 . Nilai U 2 t + 5 ​ . U 4 t + 5 = ... ​

Pada deret geometri dan . Nilai

  1. 10

  2. 1 over 10

  3. 1 over 10 straight space square root of 10

  4. square root of 10

  5. 10 square root of 10

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

  • straight U subscript 3 straight t end subscript. straight U subscript 5 straight t plus 2 end subscript. straight U subscript 10 straight t plus 7 end subscript equals 125  ar to the power of 3 straight t minus 1 end exponent. ar to the power of 5 straight t plus 2 minus 1 end exponent. ar to the power of 10 straight t plus 7 minus 1 end exponent equals 125  straight a cubed straight r to the power of 3 straight t minus 1 plus 5 straight t plus 1 plus 10 straight t plus 6 end exponent equals 125  straight a cubed straight r to the power of 18 straight t plus 6 end exponent equals 125  open parentheses ar to the power of 6 straight t plus 2 end exponent close parentheses cubed equals 5 cubed  ar to the power of 6 straight t plus 2 end exponent equals 5
  • straight U subscript 3. straight U subscript 6. straight U subscript 9. straight U subscript 12. straight U subscript 15 equals 32  ar squared. ar to the power of 5. ar to the power of 8. ar to the power of 11. ar to the power of 14 equals 32  straight a to the power of 5 straight r to the power of 2 plus 5 plus 8 plus 11 plus 14 end exponent equals 32  straight a to the power of 5 straight r to the power of 30 equals 32  open parentheses ar to the power of 6 close parentheses to the power of 5 equals 2 to the power of 5  ar to the power of 6 equals 2
  • straight U subscript 2 straight t plus 5 end subscript. straight U subscript 4 straight t plus 5 end subscript equals ar to the power of 2 straight t plus 5 minus 1 end exponent ar to the power of 4 straight t plus 5 minus 1 end exponent  equals straight a squared straight r to the power of 6 straight t plus 8 end exponent  equals ar to the power of 6 straight t plus 2 end exponent. straight space ar to the power of 6  equals space 5.2  equals space 10

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