jmayachildress jmayachildress
  • 17-08-2020
  • Mathematics
contestada

Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 28-08-2020

Answer:

  D. f(1) = 4, f(n) = –1/2f(n – 1) for n > 1

Step-by-step explanation:

We assume your sequence is supposed to be ...

  4, -2, 1, -1/2, 1/4, ...

This has no common difference, but it has a common ratio of -1/2. That is, the first term is 4, and each successive term is -1/2 times the previous one. The function is described by the recursive formula ...

  f(1) = 4;

  f(n) = -1/2·f(n-1)

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