jasminevargasolea
jasminevargasolea jasminevargasolea
  • 12-12-2018
  • Mathematics
contestada

what is the recursive formula for this geometric sequence 2, -10, 50, -250

Respuesta :

remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 12-12-2018

Answer:

[tex]a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2[/tex]

Step-by-step explanation:

The recursion is as follows:

[tex]a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2[/tex]

and unrolling the first few examples:

[tex]a_0=2\\a_1=-5\cdot 2 = -10\\a_2= -5\cdot (-10) = 50\\a_3 = (-5) \cdot 50 = -250[/tex]


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