KokiCarroll92411 KokiCarroll92411
  • 22-09-2020
  • Mathematics
contestada

Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.


33,11,−11,−33,__,__

Respuesta :

Muscardinus Muscardinus
  • 22-09-2020

Answer:

33,11,−11,−33,-55,-77.

Step-by-step explanation:

For an AP [tex]a_1,a_2,a_3,....,a_n[/tex].

[tex]a_2-a_1=a_3-a_2[/tex]

In this given AP,

[tex]11-33=-11-11\\\\-22=-22=d[/tex]

It means the given sequence is an AP.

First term, a = 33

d = -22

Fifth term :

[tex]a_5=a+(n-1)d\\\\a_5=33+(5-1)\times (-22)\\\\a_5=-55[/tex]

Sixth term :

[tex]a_6=a+(n-1)d\\\\a_6=33+(6-1)\times (-22)\\\\a_6=-77[/tex]

So, the sequence is 33,11,−11,−33,-55,-77.

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