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  • 17-01-2022
  • Mathematics
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Find the 10th term of the geometric sequence show below

Find the 10th term of the geometric sequence show below class=

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sqdancefan
sqdancefan sqdancefan
  • 17-01-2022

Answer:

  a10 = 17,578,125·x^30

Step-by-step explanation:

The first term is ...

  a1 = 9x^3

The common ratio is ...

  r = (45x^6)/(9x^3) = 5x^3

The n-th term is given by ...

  an = a1·r^(n-1)

Then the 10th term is ...

  a10 = (9x^3)·(5x^3)^(10 -1) = 9·5^9·x^(3+27)

  a10 = 17,578,125·x^30

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