carlywatson87654
carlywatson87654 carlywatson87654
  • 12-06-2021
  • Mathematics
contestada

Enter a recursive rule for the geometric sequence. 5, −10, 20, −40, ...
a1=
an=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-06-2021

9514 1404 393

Answer:

  • a[1] = 5
  • a[n] = -2a[n-1]

Step-by-step explanation:

The first term is the first one on the list:

  a[1] = 5

__

The ratio of terms is ...

  -10/5 = -2

That is, each term is -2 times the previous one, so the recursive rule is ...

  a[n] = -2·a[n-1]

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