358298
358298 358298
  • 03-10-2020
  • Mathematics
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Find the 14th term of the geometric sequence 5 -10 20

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sqdancefan
sqdancefan sqdancefan
  • 03-10-2020

Answer:

  a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

  an = a1·r^(n-1)

  an = 5·(-2)^(n-1)

The 14th term is then ...

  a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

  a14 = -40,960

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AmaraMochi
AmaraMochi AmaraMochi
  • 03-10-2020
Well since the person above me explained it already it’s that answer
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