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Study the geometric sequence {-4, -84, -1764, -37044, ...}.
What is the explicit formula for the sequence?
(21)(-4)(n-1)
O an = (-21)(4)(n-1)
O an = (-4) (21)(n-1)
O an = (4)(-21)(n-1)

Respuesta :

unicorn3125

Answer:

              [tex]\bold{a_n=(-4)21^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21[/tex]

{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}

geometric sequence formula:   [tex]a_n=a_1r^{n-1}[/tex]

[tex]a_1=-4\quad and \ \ r=21[/tex]

[tex]a_n=(-4)21^{n-1}[/tex]

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