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Dari suatu deret geometri, jika diketahui U 1 ​ = a − 4 , U 2 ​ = a x dan U 8 ​ = a 52 , maka nilai x=..

Dari suatu deret geometri, jika diketahui dan , maka nilai x=..

  1. 12

  2. 4

  3. -6

  4. -32

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

straight r space equals space straight U subscript 2 over straight U subscript 1 space equals space straight a to the power of straight x over straight a to the power of negative 4 end exponent equals space straight a to the power of straight x plus 4 end exponent  straight U subscript 8 space equals space straight a to the power of 52  left right double arrow straight U subscript 1 space. space straight r to the power of 7 space equals space straight a to the power of 52  left right double arrow straight a to the power of negative 4 end exponent space open parentheses straight a to the power of straight x plus 4 end exponent close parentheses to the power of 7 space equals space straight a to the power of 52  left right double arrow straight a to the power of negative 4 plus 7 straight x plus 28 end exponent equals space straight a to the power of 52  left right double arrow straight a to the power of 7 straight x plus 24 end exponent equals space straight a to the power of 52  left right double arrow 7 straight x plus 24 space equals space 52  left right double arrow 7 straight x space equals space 28  left right double arrow straight x space equals 28 over 7 equals space 4

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