naanaukpeyshuaib naanaukpeyshuaib
  • 01-01-2022
  • Mathematics
contestada

What is the 10th term of the sequence: 2496, 1872, 1404, 1053, …..

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 05-01-2022

Answer:

  187 1685/4096

Step-by-step explanation:

The terms do not have a common difference, but their common ratio is ...

  r = 1872/2496 = 3/4

Then the n-th term is ...

  an = a1·r^(n-1)

  an = 2496(3/4)^(n-1)

For n=10, the 10th term is ...

  a10 = 2496(3/4)^(10 -1) = 187 1685/4096

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