UzziahK738150 UzziahK738150
  • 26-10-2022
  • Mathematics
contestada

Which recursive sequence would produce the sequence 4, -9, 4.

Which recursive sequence would produce the sequence 4 9 4 class=

Respuesta :

AynsleyN106483 AynsleyN106483
  • 26-10-2022
Answer:

The correct option is B

Explanation:

Trying each of the given sequences, the one that produces

4, -9, 4 is:

[tex]\begin{gathered} a_1=4 \\ a_n=-a_{n-1}-5 \end{gathered}[/tex]

For n = 2, we have:

[tex]\begin{gathered} a_2=-a_1-5 \\ =-4-5=-9 \end{gathered}[/tex]

For n = 3, we have:

[tex]\begin{gathered} a_3=-a_2-5 \\ =-(-9)-5 \\ =9-5=4 \end{gathered}[/tex]

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